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Finding the Fourth Proportional to 242,813.91, 364,326.02 and 130,362.93

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Solution

The fourth proportional to 242,813.91, 364,326.02 and 130,362.93 is: 195,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,813.91 : 364,326.02 = 130,362.93 : x
  2. Step 2: Convert to fraction form
    242,813.91/364,326.02 = 130,362.93/x
  3. Step 3: Cross multiply
    242,813.91x = 364,326.02 × 130,362.93
  4. Step 4: Simplify right side
    242,813.91x = 47,494,607,279.48
  5. Step 5: Solve for x
    x = 47,494,607,279.48/242,813.91
  6. Step 6: Final answer
    x = 195,600.85

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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.