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Finding the Fourth Proportional to 334,139.64, 501,201.12 and 97,484.40

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Solution

The fourth proportional to 334,139.64, 501,201.12 and 97,484.40 is: 146,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,139.64 : 501,201.12 = 97,484.40 : x
  2. Step 2: Convert to fraction form
    334,139.64/501,201.12 = 97,484.40/x
  3. Step 3: Cross multiply
    334,139.64x = 501,201.12 × 97,484.40
  4. Step 4: Simplify right side
    334,139.64x = 48,859,290,462.53
  5. Step 5: Solve for x
    x = 48,859,290,462.53/334,139.64
  6. Step 6: Final answer
    x = 146,224.17

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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.