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Finding the Fourth Proportional to 119,562.36, 165,000.29 and 65,851.47

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Solution

The fourth proportional to 119,562.36, 165,000.29 and 65,851.47 is: 90,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,562.36 : 165,000.29 = 65,851.47 : x
  2. Step 2: Convert to fraction form
    119,562.36/165,000.29 = 65,851.47/x
  3. Step 3: Cross multiply
    119,562.36x = 165,000.29 × 65,851.47
  4. Step 4: Simplify right side
    119,562.36x = 10,865,510,492.67
  5. Step 5: Solve for x
    x = 10,865,510,492.67/119,562.36
  6. Step 6: Final answer
    x = 90,877.35

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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.