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Finding the Fourth Proportional to 145,842.40, 218,763.60 and 93,311.20

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Solution

The fourth proportional to 145,842.40, 218,763.60 and 93,311.20 is: 139,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842.40 : 218,763.60 = 93,311.20 : x
  2. Step 2: Convert to fraction form
    145,842.40/218,763.60 = 93,311.20/x
  3. Step 3: Cross multiply
    145,842.40x = 218,763.60 × 93,311.20
  4. Step 4: Simplify right side
    145,842.40x = 20,413,094,032.32
  5. Step 5: Solve for x
    x = 20,413,094,032.32/145,842.40
  6. Step 6: Final answer
    x = 139,966.80

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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.