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Finding the Fourth Proportional to 130,894.38, 196,159.91 and 59,642.89

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Solution

The fourth proportional to 130,894.38, 196,159.91 and 59,642.89 is: 89,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,894.38 : 196,159.91 = 59,642.89 : x
  2. Step 2: Convert to fraction form
    130,894.38/196,159.91 = 59,642.89/x
  3. Step 3: Cross multiply
    130,894.38x = 196,159.91 × 59,642.89
  4. Step 4: Simplify right side
    130,894.38x = 11,699,543,145.93
  5. Step 5: Solve for x
    x = 11,699,543,145.93/130,894.38
  6. Step 6: Final answer
    x = 89,381.55

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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.