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Finding the Fourth Proportional to 198,002.60, 296,894.55 and 64,814.30

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Solution

The fourth proportional to 198,002.60, 296,894.55 and 64,814.30 is: 97,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,002.60 : 296,894.55 = 64,814.30 : x
  2. Step 2: Convert to fraction form
    198,002.60/296,894.55 = 64,814.30/x
  3. Step 3: Cross multiply
    198,002.60x = 296,894.55 × 64,814.30
  4. Step 4: Simplify right side
    198,002.60x = 19,243,012,432.07
  5. Step 5: Solve for x
    x = 19,243,012,432.07/198,002.60
  6. Step 6: Final answer
    x = 97,185.66

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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.