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Finding the Fourth Proportional to 296,127, 408,655.24 and 160,160.96

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Solution

The fourth proportional to 296,127, 408,655.24 and 160,160.96 is: 221,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,127 : 408,655.24 = 160,160.96 : x
  2. Step 2: Convert to fraction form
    296,127/408,655.24 = 160,160.96/x
  3. Step 3: Cross multiply
    296,127x = 408,655.24 × 160,160.96
  4. Step 4: Simplify right side
    296,127x = 65,450,615,547.43
  5. Step 5: Solve for x
    x = 65,450,615,547.43/296,127
  6. Step 6: Final answer
    x = 221,022.11

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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.