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Finding the Fourth Proportional to 260,212.59, 390,053.00 and 147,655.06

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Solution

The fourth proportional to 260,212.59, 390,053.00 and 147,655.06 is: 221,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,212.59 : 390,053.00 = 147,655.06 : x
  2. Step 2: Convert to fraction form
    260,212.59/390,053.00 = 147,655.06/x
  3. Step 3: Cross multiply
    260,212.59x = 390,053.00 × 147,655.06
  4. Step 4: Simplify right side
    260,212.59x = 57,593,298,512.19
  5. Step 5: Solve for x
    x = 57,593,298,512.19/260,212.59
  6. Step 6: Final answer
    x = 221,331.71

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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.