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Finding the Fourth Proportional to 106,752.60, 160,128.90 and 59,513.40

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Solution

The fourth proportional to 106,752.60, 160,128.90 and 59,513.40 is: 89,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752.60 : 160,128.90 = 59,513.40 : x
  2. Step 2: Convert to fraction form
    106,752.60/160,128.90 = 59,513.40/x
  3. Step 3: Cross multiply
    106,752.60x = 160,128.90 × 59,513.40
  4. Step 4: Simplify right side
    106,752.60x = 9,529,815,277.26
  5. Step 5: Solve for x
    x = 9,529,815,277.26/106,752.60
  6. Step 6: Final answer
    x = 89,270.10

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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.