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Finding the Fourth Proportional to 237,912, 357,006.24 and 106,584

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Solution

The fourth proportional to 237,912, 357,006.24 and 106,584 is: 159,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912 : 357,006.24 = 106,584 : x
  2. Step 2: Convert to fraction form
    237,912/357,006.24 = 106,584/x
  3. Step 3: Cross multiply
    237,912x = 357,006.24 × 106,584
  4. Step 4: Simplify right side
    237,912x = 38,051,153,084.16
  5. Step 5: Solve for x
    x = 38,051,153,084.16/237,912
  6. Step 6: Final answer
    x = 159,937.93

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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.