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Finding the Fourth Proportional to 188,567.70, 282,851.55 and 146,577.30

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Solution

The fourth proportional to 188,567.70, 282,851.55 and 146,577.30 is: 219,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,567.70 : 282,851.55 = 146,577.30 : x
  2. Step 2: Convert to fraction form
    188,567.70/282,851.55 = 146,577.30/x
  3. Step 3: Cross multiply
    188,567.70x = 282,851.55 × 146,577.30
  4. Step 4: Simplify right side
    188,567.70x = 41,459,616,499.82
  5. Step 5: Solve for x
    x = 41,459,616,499.82/188,567.70
  6. Step 6: Final answer
    x = 219,865.95

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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.