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Finding the Fourth Proportional to 215,732.40, 323,521.80 and 97,460.40

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Solution

The fourth proportional to 215,732.40, 323,521.80 and 97,460.40 is: 146,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,732.40 : 323,521.80 = 97,460.40 : x
  2. Step 2: Convert to fraction form
    215,732.40/323,521.80 = 97,460.40/x
  3. Step 3: Cross multiply
    215,732.40x = 323,521.80 × 97,460.40
  4. Step 4: Simplify right side
    215,732.40x = 31,530,564,036.72
  5. Step 5: Solve for x
    x = 31,530,564,036.72/215,732.40
  6. Step 6: Final answer
    x = 146,155.90

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1.5x scale

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.