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Finding the Fourth Proportional to 224,911.17, 310,254.57 and 144,248.94

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Solution

The fourth proportional to 224,911.17, 310,254.57 and 144,248.94 is: 198,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,911.17 : 310,254.57 = 144,248.94 : x
  2. Step 2: Convert to fraction form
    224,911.17/310,254.57 = 144,248.94/x
  3. Step 3: Cross multiply
    224,911.17x = 310,254.57 × 144,248.94
  4. Step 4: Simplify right side
    224,911.17x = 44,753,892,852.66
  5. Step 5: Solve for x
    x = 44,753,892,852.66/224,911.17
  6. Step 6: Final answer
    x = 198,984.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.