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Finding the Fourth Proportional to 224,691.13, 310,075.82 and 127,890.24

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Solution

The fourth proportional to 224,691.13, 310,075.82 and 127,890.24 is: 176,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,691.13 : 310,075.82 = 127,890.24 : x
  2. Step 2: Convert to fraction form
    224,691.13/310,075.82 = 127,890.24/x
  3. Step 3: Cross multiply
    224,691.13x = 310,075.82 × 127,890.24
  4. Step 4: Simplify right side
    224,691.13x = 39,655,671,038.00
  5. Step 5: Solve for x
    x = 39,655,671,038.00/224,691.13
  6. Step 6: Final answer
    x = 176,489.70

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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.