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Finding the Fourth Proportional to 254,076, 350,599.68 and 146,680.68

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Solution

The fourth proportional to 254,076, 350,599.68 and 146,680.68 is: 202,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,076 : 350,599.68 = 146,680.68 : x
  2. Step 2: Convert to fraction form
    254,076/350,599.68 = 146,680.68/x
  3. Step 3: Cross multiply
    254,076x = 350,599.68 × 146,680.68
  4. Step 4: Simplify right side
    254,076x = 51,426,199,470.18
  5. Step 5: Solve for x
    x = 51,426,199,470.18/254,076
  6. Step 6: Final answer
    x = 202,404.79

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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.