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Finding the Fourth Proportional to 130,751.48, 180,475.72 and 77,053.70

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Solution

The fourth proportional to 130,751.48, 180,475.72 and 77,053.70 is: 106,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,751.48 : 180,475.72 = 77,053.70 : x
  2. Step 2: Convert to fraction form
    130,751.48/180,475.72 = 77,053.70/x
  3. Step 3: Cross multiply
    130,751.48x = 180,475.72 × 77,053.70
  4. Step 4: Simplify right side
    130,751.48x = 13,906,321,986.16
  5. Step 5: Solve for x
    x = 13,906,321,986.16/130,751.48
  6. Step 6: Final answer
    x = 106,356.90

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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.