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Finding the Fourth Proportional to 208,200.80, 287,316.78 and 112,707.48

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Solution

The fourth proportional to 208,200.80, 287,316.78 and 112,707.48 is: 155,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,200.80 : 287,316.78 = 112,707.48 : x
  2. Step 2: Convert to fraction form
    208,200.80/287,316.78 = 112,707.48/x
  3. Step 3: Cross multiply
    208,200.80x = 287,316.78 × 112,707.48
  4. Step 4: Simplify right side
    208,200.80x = 32,382,750,235.51
  5. Step 5: Solve for x
    x = 32,382,750,235.51/208,200.80
  6. Step 6: Final answer
    x = 155,536.15

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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.