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Finding the Fourth Proportional to 208,292.06, 287,443.32 and 112,798.92

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Solution

The fourth proportional to 208,292.06, 287,443.32 and 112,798.92 is: 155,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,292.06 : 287,443.32 = 112,798.92 : x
  2. Step 2: Convert to fraction form
    208,292.06/287,443.32 = 112,798.92/x
  3. Step 3: Cross multiply
    208,292.06x = 287,443.32 × 112,798.92
  4. Step 4: Simplify right side
    208,292.06x = 32,423,296,057.21
  5. Step 5: Solve for x
    x = 32,423,296,057.21/208,292.06
  6. Step 6: Final answer
    x = 155,662.66

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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.