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Finding the Fourth Proportional to 239,576.64, 359,341.05 and 97,430.30

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Solution

The fourth proportional to 239,576.64, 359,341.05 and 97,430.30 is: 146,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,576.64 : 359,341.05 = 97,430.30 : x
  2. Step 2: Convert to fraction form
    239,576.64/359,341.05 = 97,430.30/x
  3. Step 3: Cross multiply
    239,576.64x = 359,341.05 × 97,430.30
  4. Step 4: Simplify right side
    239,576.64x = 35,010,704,507.11
  5. Step 5: Solve for x
    x = 35,010,704,507.11/239,576.64
  6. Step 6: Final answer
    x = 146,135.72

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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.