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Finding the Fourth Proportional to 150,465.60, 224,337.60 and 142,689.60

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Solution

The fourth proportional to 150,465.60, 224,337.60 and 142,689.60 is: 212,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465.60 : 224,337.60 = 142,689.60 : x
  2. Step 2: Convert to fraction form
    150,465.60/224,337.60 = 142,689.60/x
  3. Step 3: Cross multiply
    150,465.60x = 224,337.60 × 142,689.60
  4. Step 4: Simplify right side
    150,465.60x = 32,010,642,408.96
  5. Step 5: Solve for x
    x = 32,010,642,408.96/150,465.60
  6. Step 6: Final answer
    x = 212,743.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.