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Finding the Fourth Proportional to 153,082.32, 229,627.80 and 42,274.32

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Solution

The fourth proportional to 153,082.32, 229,627.80 and 42,274.32 is: 63,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,082.32 : 229,627.80 = 42,274.32 : x
  2. Step 2: Convert to fraction form
    153,082.32/229,627.80 = 42,274.32/x
  3. Step 3: Cross multiply
    153,082.32x = 229,627.80 × 42,274.32
  4. Step 4: Simplify right side
    153,082.32x = 9,707,359,098.10
  5. Step 5: Solve for x
    x = 9,707,359,098.10/153,082.32
  6. Step 6: Final answer
    x = 63,412.67

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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.