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Finding the Fourth Proportional to 242,783.70, 364,089.15 and 109,727.70

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Solution

The fourth proportional to 242,783.70, 364,089.15 and 109,727.70 is: 164,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,783.70 : 364,089.15 = 109,727.70 : x
  2. Step 2: Convert to fraction form
    242,783.70/364,089.15 = 109,727.70/x
  3. Step 3: Cross multiply
    242,783.70x = 364,089.15 × 109,727.70
  4. Step 4: Simplify right side
    242,783.70x = 39,950,665,024.46
  5. Step 5: Solve for x
    x = 39,950,665,024.46/242,783.70
  6. Step 6: Final answer
    x = 164,552.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.