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Finding the Fourth Proportional to 207,613.68, 286,208.28 and 147,894

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Solution

The fourth proportional to 207,613.68, 286,208.28 and 147,894 is: 203,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,613.68 : 286,208.28 = 147,894 : x
  2. Step 2: Convert to fraction form
    207,613.68/286,208.28 = 147,894/x
  3. Step 3: Cross multiply
    207,613.68x = 286,208.28 × 147,894
  4. Step 4: Simplify right side
    207,613.68x = 42,328,487,362.32
  5. Step 5: Solve for x
    x = 42,328,487,362.32/207,613.68
  6. Step 6: Final answer
    x = 203,881.01

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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.