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Finding the Fourth Proportional to 208,261.41, 287,406.02 and 127,733.34

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Solution

The fourth proportional to 208,261.41, 287,406.02 and 127,733.34 is: 176,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,261.41 : 287,406.02 = 127,733.34 : x
  2. Step 2: Convert to fraction form
    208,261.41/287,406.02 = 127,733.34/x
  3. Step 3: Cross multiply
    208,261.41x = 287,406.02 × 127,733.34
  4. Step 4: Simplify right side
    208,261.41x = 36,711,330,870.71
  5. Step 5: Solve for x
    x = 36,711,330,870.71/208,261.41
  6. Step 6: Final answer
    x = 176,275.24

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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.