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Finding the Fourth Proportional to 116,565.41, 160,856.66 and 65,580.98

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Solution

The fourth proportional to 116,565.41, 160,856.66 and 65,580.98 is: 90,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,565.41 : 160,856.66 = 65,580.98 : x
  2. Step 2: Convert to fraction form
    116,565.41/160,856.66 = 65,580.98/x
  3. Step 3: Cross multiply
    116,565.41x = 160,856.66 × 65,580.98
  4. Step 4: Simplify right side
    116,565.41x = 10,549,136,270.14
  5. Step 5: Solve for x
    x = 10,549,136,270.14/116,565.41
  6. Step 6: Final answer
    x = 90,499.72

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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.