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Finding the Fourth Proportional to 188,271.60, 282,407.40 and 113,476.20

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Solution

The fourth proportional to 188,271.60, 282,407.40 and 113,476.20 is: 170,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,271.60 : 282,407.40 = 113,476.20 : x
  2. Step 2: Convert to fraction form
    188,271.60/282,407.40 = 113,476.20/x
  3. Step 3: Cross multiply
    188,271.60x = 282,407.40 × 113,476.20
  4. Step 4: Simplify right side
    188,271.60x = 32,046,518,603.88
  5. Step 5: Solve for x
    x = 32,046,518,603.88/188,271.60
  6. Step 6: Final answer
    x = 170,214.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.