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Finding the Fourth Proportional to 116,565.91, 174,848.85 and 77,113.79

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Solution

The fourth proportional to 116,565.91, 174,848.85 and 77,113.79 is: 115,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,565.91 : 174,848.85 = 77,113.79 : x
  2. Step 2: Convert to fraction form
    116,565.91/174,848.85 = 77,113.79/x
  3. Step 3: Cross multiply
    116,565.91x = 174,848.85 × 77,113.79
  4. Step 4: Simplify right side
    116,565.91x = 13,483,257,282.08
  5. Step 5: Solve for x
    x = 13,483,257,282.08/116,565.91
  6. Step 6: Final answer
    x = 115,670.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.