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Finding the Fourth Proportional to 142,934.40, 214,401.60 and 98,697.60

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Solution

The fourth proportional to 142,934.40, 214,401.60 and 98,697.60 is: 148,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,934.40 : 214,401.60 = 98,697.60 : x
  2. Step 2: Convert to fraction form
    142,934.40/214,401.60 = 98,697.60/x
  3. Step 3: Cross multiply
    142,934.40x = 214,401.60 × 98,697.60
  4. Step 4: Simplify right side
    142,934.40x = 21,160,923,356.16
  5. Step 5: Solve for x
    x = 21,160,923,356.16/142,934.40
  6. Step 6: Final answer
    x = 148,046.40

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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.