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Finding the Fourth Proportional to 119,262.40, 164,585.13 and 65,548.78

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Solution

The fourth proportional to 119,262.40, 164,585.13 and 65,548.78 is: 90,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,262.40 : 164,585.13 = 65,548.78 : x
  2. Step 2: Convert to fraction form
    119,262.40/164,585.13 = 65,548.78/x
  3. Step 3: Cross multiply
    119,262.40x = 164,585.13 × 65,548.78
  4. Step 4: Simplify right side
    119,262.40x = 10,788,354,477.64
  5. Step 5: Solve for x
    x = 10,788,354,477.64/119,262.40
  6. Step 6: Final answer
    x = 90,458.98

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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.