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Finding the Fourth Proportional to 145,476.68, 200,765.76 and 81,818.24

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Solution

The fourth proportional to 145,476.68, 200,765.76 and 81,818.24 is: 112,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,476.68 : 200,765.76 = 81,818.24 : x
  2. Step 2: Convert to fraction form
    145,476.68/200,765.76 = 81,818.24/x
  3. Step 3: Cross multiply
    145,476.68x = 200,765.76 × 81,818.24
  4. Step 4: Simplify right side
    145,476.68x = 16,426,301,135.46
  5. Step 5: Solve for x
    x = 16,426,301,135.46/145,476.68
  6. Step 6: Final answer
    x = 112,913.64

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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.