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Finding the Fourth Proportional to 231,411.68, 319,253.88 and 150,809.84

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Solution

The fourth proportional to 231,411.68, 319,253.88 and 150,809.84 is: 208,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411.68 : 319,253.88 = 150,809.84 : x
  2. Step 2: Convert to fraction form
    231,411.68/319,253.88 = 150,809.84/x
  3. Step 3: Cross multiply
    231,411.68x = 319,253.88 × 150,809.84
  4. Step 4: Simplify right side
    231,411.68x = 48,146,626,562.18
  5. Step 5: Solve for x
    x = 48,146,626,562.18/231,411.68
  6. Step 6: Final answer
    x = 208,056.16

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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.