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Finding the Fourth Proportional to 277,506.58, 382,959.08 and 150,182.14

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Solution

The fourth proportional to 277,506.58, 382,959.08 and 150,182.14 is: 207,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.58 : 382,959.08 = 150,182.14 : x
  2. Step 2: Convert to fraction form
    277,506.58/382,959.08 = 150,182.14/x
  3. Step 3: Cross multiply
    277,506.58x = 382,959.08 × 150,182.14
  4. Step 4: Simplify right side
    277,506.58x = 57,513,614,166.83
  5. Step 5: Solve for x
    x = 57,513,614,166.83/277,506.58
  6. Step 6: Final answer
    x = 207,251.35

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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.