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Finding the Fourth Proportional to 153,526.91, 211,863.94 and 85,543.61

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Solution

The fourth proportional to 153,526.91, 211,863.94 and 85,543.61 is: 118,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,526.91 : 211,863.94 = 85,543.61 : x
  2. Step 2: Convert to fraction form
    153,526.91/211,863.94 = 85,543.61/x
  3. Step 3: Cross multiply
    153,526.91x = 211,863.94 × 85,543.61
  4. Step 4: Simplify right side
    153,526.91x = 18,123,604,983.24
  5. Step 5: Solve for x
    x = 18,123,604,983.24/153,526.91
  6. Step 6: Final answer
    x = 118,048.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.