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Finding the Fourth Proportional to 148,978.32, 223,466.94 and 60,230.76

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Solution

The fourth proportional to 148,978.32, 223,466.94 and 60,230.76 is: 90,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978.32 : 223,466.94 = 60,230.76 : x
  2. Step 2: Convert to fraction form
    148,978.32/223,466.94 = 60,230.76/x
  3. Step 3: Cross multiply
    148,978.32x = 223,466.94 × 60,230.76
  4. Step 4: Simplify right side
    148,978.32x = 13,459,583,631.07
  5. Step 5: Solve for x
    x = 13,459,583,631.07/148,978.32
  6. Step 6: Final answer
    x = 90,345.92

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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.