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Finding the Fourth Proportional to 207,946.64, 286,967.02 and 112,454

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Solution

The fourth proportional to 207,946.64, 286,967.02 and 112,454 is: 155,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,946.64 : 286,967.02 = 112,454 : x
  2. Step 2: Convert to fraction form
    207,946.64/286,967.02 = 112,454/x
  3. Step 3: Cross multiply
    207,946.64x = 286,967.02 × 112,454
  4. Step 4: Simplify right side
    207,946.64x = 32,270,589,267.08
  5. Step 5: Solve for x
    x = 32,270,589,267.08/207,946.64
  6. Step 6: Final answer
    x = 155,186.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.