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Finding the Fourth Proportional to 130,801.42, 180,510.42 and 77,132.44

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Solution

The fourth proportional to 130,801.42, 180,510.42 and 77,132.44 is: 106,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,801.42 : 180,510.42 = 77,132.44 : x
  2. Step 2: Convert to fraction form
    130,801.42/180,510.42 = 77,132.44/x
  3. Step 3: Cross multiply
    130,801.42x = 180,510.42 × 77,132.44
  4. Step 4: Simplify right side
    130,801.42x = 13,923,209,140.02
  5. Step 5: Solve for x
    x = 13,923,209,140.02/130,801.42
  6. Step 6: Final answer
    x = 106,445.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.