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Finding the Fourth Proportional to 208,117.92, 287,200.32 and 112,622.40

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Solution

The fourth proportional to 208,117.92, 287,200.32 and 112,622.40 is: 155,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.92 : 287,200.32 = 112,622.40 : x
  2. Step 2: Convert to fraction form
    208,117.92/287,200.32 = 112,622.40/x
  3. Step 3: Cross multiply
    208,117.92x = 287,200.32 × 112,622.40
  4. Step 4: Simplify right side
    208,117.92x = 32,345,189,319.17
  5. Step 5: Solve for x
    x = 32,345,189,319.17/208,117.92
  6. Step 6: Final answer
    x = 155,417.61

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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.