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Finding the Fourth Proportional to 224,758.51, 310,177.82 and 127,964.29

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Solution

The fourth proportional to 224,758.51, 310,177.82 and 127,964.29 is: 176,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,758.51 : 310,177.82 = 127,964.29 : x
  2. Step 2: Convert to fraction form
    224,758.51/310,177.82 = 127,964.29/x
  3. Step 3: Cross multiply
    224,758.51x = 310,177.82 × 127,964.29
  4. Step 4: Simplify right side
    224,758.51x = 39,691,682,319.34
  5. Step 5: Solve for x
    x = 39,691,682,319.34/224,758.51
  6. Step 6: Final answer
    x = 176,597.02

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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.