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Finding the Fourth Proportional to 153,400.50, 211,712.13 and 86,345.46

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Solution

The fourth proportional to 153,400.50, 211,712.13 and 86,345.46 is: 119,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,400.50 : 211,712.13 = 86,345.46 : x
  2. Step 2: Convert to fraction form
    153,400.50/211,712.13 = 86,345.46/x
  3. Step 3: Cross multiply
    153,400.50x = 211,712.13 × 86,345.46
  4. Step 4: Simplify right side
    153,400.50x = 18,280,381,252.43
  5. Step 5: Solve for x
    x = 18,280,381,252.43/153,400.50
  6. Step 6: Final answer
    x = 119,167.68

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1.5x scale

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.