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Finding the Fourth Proportional to 119,127.60, 164,385.84 and 65,412

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Solution

The fourth proportional to 119,127.60, 164,385.84 and 65,412 is: 90,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,127.60 : 164,385.84 = 65,412 : x
  2. Step 2: Convert to fraction form
    119,127.60/164,385.84 = 65,412/x
  3. Step 3: Cross multiply
    119,127.60x = 164,385.84 × 65,412
  4. Step 4: Simplify right side
    119,127.60x = 10,752,806,566.08
  5. Step 5: Solve for x
    x = 10,752,806,566.08/119,127.60
  6. Step 6: Final answer
    x = 90,262.93

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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.