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Finding the Fourth Proportional to 119,477.16, 164,877.17 and 65,761.02

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Solution

The fourth proportional to 119,477.16, 164,877.17 and 65,761.02 is: 90,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,477.16 : 164,877.17 = 65,761.02 : x
  2. Step 2: Convert to fraction form
    119,477.16/164,877.17 = 65,761.02/x
  3. Step 3: Cross multiply
    119,477.16x = 164,877.17 × 65,761.02
  4. Step 4: Simplify right side
    119,477.16x = 10,842,490,545.11
  5. Step 5: Solve for x
    x = 10,842,490,545.11/119,477.16
  6. Step 6: Final answer
    x = 90,749.48

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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.