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Finding the Fourth Proportional to 114,104.86, 157,460.09 and 62,421.12

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Solution

The fourth proportional to 114,104.86, 157,460.09 and 62,421.12 is: 86,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,104.86 : 157,460.09 = 62,421.12 : x
  2. Step 2: Convert to fraction form
    114,104.86/157,460.09 = 62,421.12/x
  3. Step 3: Cross multiply
    114,104.86x = 157,460.09 × 62,421.12
  4. Step 4: Simplify right side
    114,104.86x = 9,828,834,861.00
  5. Step 5: Solve for x
    x = 9,828,834,861.00/114,104.86
  6. Step 6: Final answer
    x = 86,138.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.