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Finding the Fourth Proportional to 119,038.64, 164,275.80 and 65,320.52

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Solution

The fourth proportional to 119,038.64, 164,275.80 and 65,320.52 is: 90,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,038.64 : 164,275.80 = 65,320.52 : x
  2. Step 2: Convert to fraction form
    119,038.64/164,275.80 = 65,320.52/x
  3. Step 3: Cross multiply
    119,038.64x = 164,275.80 × 65,320.52
  4. Step 4: Simplify right side
    119,038.64x = 10,730,580,679.42
  5. Step 5: Solve for x
    x = 10,730,580,679.42/119,038.64
  6. Step 6: Final answer
    x = 90,143.68

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