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Finding the Fourth Proportional to 219,802.19, 329,447.86 and 101,224.40

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Solution

The fourth proportional to 219,802.19, 329,447.86 and 101,224.40 is: 151,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,802.19 : 329,447.86 = 101,224.40 : x
  2. Step 2: Convert to fraction form
    219,802.19/329,447.86 = 101,224.40/x
  3. Step 3: Cross multiply
    219,802.19x = 329,447.86 × 101,224.40
  4. Step 4: Simplify right side
    219,802.19x = 33,348,160,059.48
  5. Step 5: Solve for x
    x = 33,348,160,059.48/219,802.19
  6. Step 6: Final answer
    x = 151,718.97

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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.