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Finding the Fourth Proportional to 453,699.96, 680,648.34 and 138,148.60

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Solution

The fourth proportional to 453,699.96, 680,648.34 and 138,148.60 is: 207,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,699.96 : 680,648.34 = 138,148.60 : x
  2. Step 2: Convert to fraction form
    453,699.96/680,648.34 = 138,148.60/x
  3. Step 3: Cross multiply
    453,699.96x = 680,648.34 × 138,148.60
  4. Step 4: Simplify right side
    453,699.96x = 94,030,615,263.32
  5. Step 5: Solve for x
    x = 94,030,615,263.32/453,699.96
  6. Step 6: Final answer
    x = 207,252.86

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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.