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Finding the Fourth Proportional to 137,830.67, 206,621.16 and 95,730.63

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Solution

The fourth proportional to 137,830.67, 206,621.16 and 95,730.63 is: 143,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.67 : 206,621.16 = 95,730.63 : x
  2. Step 2: Convert to fraction form
    137,830.67/206,621.16 = 95,730.63/x
  3. Step 3: Cross multiply
    137,830.67x = 206,621.16 × 95,730.63
  4. Step 4: Simplify right side
    137,830.67x = 19,779,973,818.13
  5. Step 5: Solve for x
    x = 19,779,973,818.13/137,830.67
  6. Step 6: Final answer
    x = 143,509.24

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