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Finding the Fourth Proportional to 153,760.94, 230,651.12 and 65,002.76

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Solution

The fourth proportional to 153,760.94, 230,651.12 and 65,002.76 is: 97,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760.94 : 230,651.12 = 65,002.76 : x
  2. Step 2: Convert to fraction form
    153,760.94/230,651.12 = 65,002.76/x
  3. Step 3: Cross multiply
    153,760.94x = 230,651.12 × 65,002.76
  4. Step 4: Simplify right side
    153,760.94x = 14,992,959,397.09
  5. Step 5: Solve for x
    x = 14,992,959,397.09/153,760.94
  6. Step 6: Final answer
    x = 97,508.24

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1.5x scale

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.