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Finding the Fourth Proportional to 325,465.95, 487,854.46 and 148,097.52

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Solution

The fourth proportional to 325,465.95, 487,854.46 and 148,097.52 is: 221,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,465.95 : 487,854.46 = 148,097.52 : x
  2. Step 2: Convert to fraction form
    325,465.95/487,854.46 = 148,097.52/x
  3. Step 3: Cross multiply
    325,465.95x = 487,854.46 × 148,097.52
  4. Step 4: Simplify right side
    325,465.95x = 72,250,033,207.67
  5. Step 5: Solve for x
    x = 72,250,033,207.67/325,465.95
  6. Step 6: Final answer
    x = 221,989.53

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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.