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Finding the Fourth Proportional to 239,597.96, 359,534.28 and 97,417

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Solution

The fourth proportional to 239,597.96, 359,534.28 and 97,417 is: 146,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,597.96 : 359,534.28 = 97,417 : x
  2. Step 2: Convert to fraction form
    239,597.96/359,534.28 = 97,417/x
  3. Step 3: Cross multiply
    239,597.96x = 359,534.28 × 97,417
  4. Step 4: Simplify right side
    239,597.96x = 35,024,750,954.76
  5. Step 5: Solve for x
    x = 35,024,750,954.76/239,597.96
  6. Step 6: Final answer
    x = 146,181.34

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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.