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Finding the Fourth Proportional to 205,983, 284,223.66 and 115,342.92

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Solution

The fourth proportional to 205,983, 284,223.66 and 115,342.92 is: 159,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983 : 284,223.66 = 115,342.92 : x
  2. Step 2: Convert to fraction form
    205,983/284,223.66 = 115,342.92/x
  3. Step 3: Cross multiply
    205,983x = 284,223.66 × 115,342.92
  4. Step 4: Simplify right side
    205,983x = 32,783,186,877.49
  5. Step 5: Solve for x
    x = 32,783,186,877.49/205,983
  6. Step 6: Final answer
    x = 159,154.82

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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.