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Finding the Fourth Proportional to 224,680.16, 310,017.53 and 127,878.30

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Solution

The fourth proportional to 224,680.16, 310,017.53 and 127,878.30 is: 176,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,680.16 : 310,017.53 = 127,878.30 : x
  2. Step 2: Convert to fraction form
    224,680.16/310,017.53 = 127,878.30/x
  3. Step 3: Cross multiply
    224,680.16x = 310,017.53 × 127,878.30
  4. Step 4: Simplify right side
    224,680.16x = 39,644,512,517.12
  5. Step 5: Solve for x
    x = 39,644,512,517.12/224,680.16
  6. Step 6: Final answer
    x = 176,448.66

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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.