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Finding the Fourth Proportional to 205,398.93, 283,294.35 and 176,766.24

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Solution

The fourth proportional to 205,398.93, 283,294.35 and 176,766.24 is: 243,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,398.93 : 283,294.35 = 176,766.24 : x
  2. Step 2: Convert to fraction form
    205,398.93/283,294.35 = 176,766.24/x
  3. Step 3: Cross multiply
    205,398.93x = 283,294.35 × 176,766.24
  4. Step 4: Simplify right side
    205,398.93x = 50,076,877,062.74
  5. Step 5: Solve for x
    x = 50,076,877,062.74/205,398.93
  6. Step 6: Final answer
    x = 243,803.01

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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.