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Finding the Fourth Proportional to 106,948.59, 160,580.59 and 59,656.08

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Solution

The fourth proportional to 106,948.59, 160,580.59 and 59,656.08 is: 89,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948.59 : 160,580.59 = 59,656.08 : x
  2. Step 2: Convert to fraction form
    106,948.59/160,580.59 = 59,656.08/x
  3. Step 3: Cross multiply
    106,948.59x = 160,580.59 × 59,656.08
  4. Step 4: Simplify right side
    106,948.59x = 9,579,608,523.49
  5. Step 5: Solve for x
    x = 9,579,608,523.49/106,948.59
  6. Step 6: Final answer
    x = 89,572.09

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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.