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Finding the Fourth Proportional to 200,756.32, 277,043.70 and 111,332.32

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Solution

The fourth proportional to 200,756.32, 277,043.70 and 111,332.32 is: 153,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,756.32 : 277,043.70 = 111,332.32 : x
  2. Step 2: Convert to fraction form
    200,756.32/277,043.70 = 111,332.32/x
  3. Step 3: Cross multiply
    200,756.32x = 277,043.70 × 111,332.32
  4. Step 4: Simplify right side
    200,756.32x = 30,843,917,862.38
  5. Step 5: Solve for x
    x = 30,843,917,862.38/200,756.32
  6. Step 6: Final answer
    x = 153,638.59

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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.