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Finding the Fourth Proportional to 175,962, 242,827.92 and 100,510.32

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Solution

The fourth proportional to 175,962, 242,827.92 and 100,510.32 is: 138,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,962 : 242,827.92 = 100,510.32 : x
  2. Step 2: Convert to fraction form
    175,962/242,827.92 = 100,510.32/x
  3. Step 3: Cross multiply
    175,962x = 242,827.92 × 100,510.32
  4. Step 4: Simplify right side
    175,962x = 24,406,711,944.13
  5. Step 5: Solve for x
    x = 24,406,711,944.13/175,962
  6. Step 6: Final answer
    x = 138,704.45

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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.