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Finding the Fourth Proportional to 121,598.01, 182,415.24 and 42,698.34

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Solution

The fourth proportional to 121,598.01, 182,415.24 and 42,698.34 is: 64,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,598.01 : 182,415.24 = 42,698.34 : x
  2. Step 2: Convert to fraction form
    121,598.01/182,415.24 = 42,698.34/x
  3. Step 3: Cross multiply
    121,598.01x = 182,415.24 × 42,698.34
  4. Step 4: Simplify right side
    121,598.01x = 7,788,827,938.70
  5. Step 5: Solve for x
    x = 7,788,827,938.70/121,598.01
  6. Step 6: Final answer
    x = 64,053.91

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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.