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Finding the Fourth Proportional to 102,407.34, 153,659.68 and 46,264.62

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Solution

The fourth proportional to 102,407.34, 153,659.68 and 46,264.62 is: 69,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.34 : 153,659.68 = 46,264.62 : x
  2. Step 2: Convert to fraction form
    102,407.34/153,659.68 = 46,264.62/x
  3. Step 3: Cross multiply
    102,407.34x = 153,659.68 × 46,264.62
  4. Step 4: Simplify right side
    102,407.34x = 7,109,006,560.99
  5. Step 5: Solve for x
    x = 7,109,006,560.99/102,407.34
  6. Step 6: Final answer
    x = 69,418.92

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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.