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Finding the Fourth Proportional to 219,707.13, 329,659.16 and 101,315.01

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Solution

The fourth proportional to 219,707.13, 329,659.16 and 101,315.01 is: 152,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,707.13 : 329,659.16 = 101,315.01 : x
  2. Step 2: Convert to fraction form
    219,707.13/329,659.16 = 101,315.01/x
  3. Step 3: Cross multiply
    219,707.13x = 329,659.16 × 101,315.01
  4. Step 4: Simplify right side
    219,707.13x = 33,399,420,585.42
  5. Step 5: Solve for x
    x = 33,399,420,585.42/219,707.13
  6. Step 6: Final answer
    x = 152,017.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.