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Finding the Fourth Proportional to 284,101.32, 392,126.91 and 163,312.68

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Solution

The fourth proportional to 284,101.32, 392,126.91 and 163,312.68 is: 225,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.32 : 392,126.91 = 163,312.68 : x
  2. Step 2: Convert to fraction form
    284,101.32/392,126.91 = 163,312.68/x
  3. Step 3: Cross multiply
    284,101.32x = 392,126.91 × 163,312.68
  4. Step 4: Simplify right side
    284,101.32x = 64,039,296,572.22
  5. Step 5: Solve for x
    x = 64,039,296,572.22/284,101.32
  6. Step 6: Final answer
    x = 225,410.06

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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.