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Finding the Fourth Proportional to 152,332.34, 210,218.46 and 85,264.34

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Solution

The fourth proportional to 152,332.34, 210,218.46 and 85,264.34 is: 117,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,332.34 : 210,218.46 = 85,264.34 : x
  2. Step 2: Convert to fraction form
    152,332.34/210,218.46 = 85,264.34/x
  3. Step 3: Cross multiply
    152,332.34x = 210,218.46 × 85,264.34
  4. Step 4: Simplify right side
    152,332.34x = 17,924,138,247.72
  5. Step 5: Solve for x
    x = 17,924,138,247.72/152,332.34
  6. Step 6: Final answer
    x = 117,664.69

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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.