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Finding the Fourth Proportional to 208,129.34, 287,218.47 and 112,636.06

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Solution

The fourth proportional to 208,129.34, 287,218.47 and 112,636.06 is: 155,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.34 : 287,218.47 = 112,636.06 : x
  2. Step 2: Convert to fraction form
    208,129.34/287,218.47 = 112,636.06/x
  3. Step 3: Cross multiply
    208,129.34x = 287,218.47 × 112,636.06
  4. Step 4: Simplify right side
    208,129.34x = 32,351,156,820.03
  5. Step 5: Solve for x
    x = 32,351,156,820.03/208,129.34
  6. Step 6: Final answer
    x = 155,437.75

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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.