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Finding the Fourth Proportional to 153,462.30, 211,810.65 and 103,132.14

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Solution

The fourth proportional to 153,462.30, 211,810.65 and 103,132.14 is: 142,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462.30 : 211,810.65 = 103,132.14 : x
  2. Step 2: Convert to fraction form
    153,462.30/211,810.65 = 103,132.14/x
  3. Step 3: Cross multiply
    153,462.30x = 211,810.65 × 103,132.14
  4. Step 4: Simplify right side
    153,462.30x = 21,844,485,609.29
  5. Step 5: Solve for x
    x = 21,844,485,609.29/153,462.30
  6. Step 6: Final answer
    x = 142,344.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.