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Finding the Fourth Proportional to 197,306.40, 296,002.80 and 97,514.40

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Solution

The fourth proportional to 197,306.40, 296,002.80 and 97,514.40 is: 146,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,306.40 : 296,002.80 = 97,514.40 : x
  2. Step 2: Convert to fraction form
    197,306.40/296,002.80 = 97,514.40/x
  3. Step 3: Cross multiply
    197,306.40x = 296,002.80 × 97,514.40
  4. Step 4: Simplify right side
    197,306.40x = 28,864,535,440.32
  5. Step 5: Solve for x
    x = 28,864,535,440.32/197,306.40
  6. Step 6: Final answer
    x = 146,292.95

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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.