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Finding the Fourth Proportional to 277,465.32, 382,903.16 and 150,140.91

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Solution

The fourth proportional to 277,465.32, 382,903.16 and 150,140.91 is: 207,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,465.32 : 382,903.16 = 150,140.91 : x
  2. Step 2: Convert to fraction form
    277,465.32/382,903.16 = 150,140.91/x
  3. Step 3: Cross multiply
    277,465.32x = 382,903.16 × 150,140.91
  4. Step 4: Simplify right side
    277,465.32x = 57,489,429,569.46
  5. Step 5: Solve for x
    x = 57,489,429,569.46/277,465.32
  6. Step 6: Final answer
    x = 207,195.01

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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.