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Finding the Fourth Proportional to 208,441.98, 287,583.51 and 127,830.78

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Solution

The fourth proportional to 208,441.98, 287,583.51 and 127,830.78 is: 176,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,441.98 : 287,583.51 = 127,830.78 : x
  2. Step 2: Convert to fraction form
    208,441.98/287,583.51 = 127,830.78/x
  3. Step 3: Cross multiply
    208,441.98x = 287,583.51 × 127,830.78
  4. Step 4: Simplify right side
    208,441.98x = 36,762,024,398.44
  5. Step 5: Solve for x
    x = 36,762,024,398.44/208,441.98
  6. Step 6: Final answer
    x = 176,365.74

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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.