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Finding the Fourth Proportional to 153,105.66, 211,292.84 and 85,129.55

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Solution

The fourth proportional to 153,105.66, 211,292.84 and 85,129.55 is: 117,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,105.66 : 211,292.84 = 85,129.55 : x
  2. Step 2: Convert to fraction form
    153,105.66/211,292.84 = 85,129.55/x
  3. Step 3: Cross multiply
    153,105.66x = 211,292.84 × 85,129.55
  4. Step 4: Simplify right side
    153,105.66x = 17,987,264,387.42
  5. Step 5: Solve for x
    x = 17,987,264,387.42/153,105.66
  6. Step 6: Final answer
    x = 117,482.69

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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.