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Finding the Fourth Proportional to 106,658.64, 147,190.32 and 61,337.52

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Solution

The fourth proportional to 106,658.64, 147,190.32 and 61,337.52 is: 84,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658.64 : 147,190.32 = 61,337.52 : x
  2. Step 2: Convert to fraction form
    106,658.64/147,190.32 = 61,337.52/x
  3. Step 3: Cross multiply
    106,658.64x = 147,190.32 × 61,337.52
  4. Step 4: Simplify right side
    106,658.64x = 9,028,289,196.81
  5. Step 5: Solve for x
    x = 9,028,289,196.81/106,658.64
  6. Step 6: Final answer
    x = 84,646.58

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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.