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Finding the Fourth Proportional to 208,506.76, 287,740.86 and 113,014.14

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Solution

The fourth proportional to 208,506.76, 287,740.86 and 113,014.14 is: 155,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506.76 : 287,740.86 = 113,014.14 : x
  2. Step 2: Convert to fraction form
    208,506.76/287,740.86 = 113,014.14/x
  3. Step 3: Cross multiply
    208,506.76x = 287,740.86 × 113,014.14
  4. Step 4: Simplify right side
    208,506.76x = 32,518,784,332.93
  5. Step 5: Solve for x
    x = 32,518,784,332.93/208,506.76
  6. Step 6: Final answer
    x = 155,960.34

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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.