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Finding the Fourth Proportional to 208,144.96, 287,240.88 and 112,651.63

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Solution

The fourth proportional to 208,144.96, 287,240.88 and 112,651.63 is: 155,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.96 : 287,240.88 = 112,651.63 : x
  2. Step 2: Convert to fraction form
    208,144.96/287,240.88 = 112,651.63/x
  3. Step 3: Cross multiply
    208,144.96x = 287,240.88 × 112,651.63
  4. Step 4: Simplify right side
    208,144.96x = 32,358,153,038.98
  5. Step 5: Solve for x
    x = 32,358,153,038.98/208,144.96
  6. Step 6: Final answer
    x = 155,459.70

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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.