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Finding the Fourth Proportional to 277,029.95, 382,278.42 and 156,200.94

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Solution

The fourth proportional to 277,029.95, 382,278.42 and 156,200.94 is: 215,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029.95 : 382,278.42 = 156,200.94 : x
  2. Step 2: Convert to fraction form
    277,029.95/382,278.42 = 156,200.94/x
  3. Step 3: Cross multiply
    277,029.95x = 382,278.42 × 156,200.94
  4. Step 4: Simplify right side
    277,029.95x = 59,712,248,545.71
  5. Step 5: Solve for x
    x = 59,712,248,545.71/277,029.95
  6. Step 6: Final answer
    x = 215,544.38

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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.