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Finding the Fourth Proportional to 208,296.06, 287,448.84 and 112,802.92

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Solution

The fourth proportional to 208,296.06, 287,448.84 and 112,802.92 is: 155,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,296.06 : 287,448.84 = 112,802.92 : x
  2. Step 2: Convert to fraction form
    208,296.06/287,448.84 = 112,802.92/x
  3. Step 3: Cross multiply
    208,296.06x = 287,448.84 × 112,802.92
  4. Step 4: Simplify right side
    208,296.06x = 32,425,068,502.61
  5. Step 5: Solve for x
    x = 32,425,068,502.61/208,296.06
  6. Step 6: Final answer
    x = 155,668.18

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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.