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Finding the Fourth Proportional to 157,909.61, 217,906.08 and 86,290.22

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Solution

The fourth proportional to 157,909.61, 217,906.08 and 86,290.22 is: 119,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.61 : 217,906.08 = 86,290.22 : x
  2. Step 2: Convert to fraction form
    157,909.61/217,906.08 = 86,290.22/x
  3. Step 3: Cross multiply
    157,909.61x = 217,906.08 × 86,290.22
  4. Step 4: Simplify right side
    157,909.61x = 18,803,163,582.54
  5. Step 5: Solve for x
    x = 18,803,163,582.54/157,909.61
  6. Step 6: Final answer
    x = 119,075.49

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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.