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Finding the Fourth Proportional to 153,312.66, 229,934.43 and 42,513.30

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Solution

The fourth proportional to 153,312.66, 229,934.43 and 42,513.30 is: 63,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312.66 : 229,934.43 = 42,513.30 : x
  2. Step 2: Convert to fraction form
    153,312.66/229,934.43 = 42,513.30/x
  3. Step 3: Cross multiply
    153,312.66x = 229,934.43 × 42,513.30
  4. Step 4: Simplify right side
    153,312.66x = 9,775,271,402.92
  5. Step 5: Solve for x
    x = 9,775,271,402.92/153,312.66
  6. Step 6: Final answer
    x = 63,760.37

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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.