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Finding the Fourth Proportional to 174,294.34, 240,471.34 and 97,802.19

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Solution

The fourth proportional to 174,294.34, 240,471.34 and 97,802.19 is: 134,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,294.34 : 240,471.34 = 97,802.19 : x
  2. Step 2: Convert to fraction form
    174,294.34/240,471.34 = 97,802.19/x
  3. Step 3: Cross multiply
    174,294.34x = 240,471.34 × 97,802.19
  4. Step 4: Simplify right side
    174,294.34x = 23,518,623,439.73
  5. Step 5: Solve for x
    x = 23,518,623,439.73/174,294.34
  6. Step 6: Final answer
    x = 134,936.25

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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.