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Finding the Fourth Proportional to 242,895.65, 364,347.14 and 109,683.05

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Solution

The fourth proportional to 242,895.65, 364,347.14 and 109,683.05 is: 164,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,895.65 : 364,347.14 = 109,683.05 : x
  2. Step 2: Convert to fraction form
    242,895.65/364,347.14 = 109,683.05/x
  3. Step 3: Cross multiply
    242,895.65x = 364,347.14 × 109,683.05
  4. Step 4: Simplify right side
    242,895.65x = 39,962,703,203.83
  5. Step 5: Solve for x
    x = 39,962,703,203.83/242,895.65
  6. Step 6: Final answer
    x = 164,526.22

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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.