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Finding the Fourth Proportional to 208,359.84, 287,557.84 and 150,264.24

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Solution

The fourth proportional to 208,359.84, 287,557.84 and 150,264.24 is: 207,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.84 : 287,557.84 = 150,264.24 : x
  2. Step 2: Convert to fraction form
    208,359.84/287,557.84 = 150,264.24/x
  3. Step 3: Cross multiply
    208,359.84x = 287,557.84 × 150,264.24
  4. Step 4: Simplify right side
    208,359.84x = 43,209,660,283.64
  5. Step 5: Solve for x
    x = 43,209,660,283.64/208,359.84
  6. Step 6: Final answer
    x = 207,379.98

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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.