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Finding the Fourth Proportional to 180,677.84, 249,422.09 and 127,008.86

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Solution

The fourth proportional to 180,677.84, 249,422.09 and 127,008.86 is: 175,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,677.84 : 249,422.09 = 127,008.86 : x
  2. Step 2: Convert to fraction form
    180,677.84/249,422.09 = 127,008.86/x
  3. Step 3: Cross multiply
    180,677.84x = 249,422.09 × 127,008.86
  4. Step 4: Simplify right side
    180,677.84x = 31,678,813,427.56
  5. Step 5: Solve for x
    x = 31,678,813,427.56/180,677.84
  6. Step 6: Final answer
    x = 175,333.15

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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.