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Finding the Fourth Proportional to 160,431.13, 221,298.10 and 103,051.14

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Solution

The fourth proportional to 160,431.13, 221,298.10 and 103,051.14 is: 142,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,431.13 : 221,298.10 = 103,051.14 : x
  2. Step 2: Convert to fraction form
    160,431.13/221,298.10 = 103,051.14/x
  3. Step 3: Cross multiply
    160,431.13x = 221,298.10 × 103,051.14
  4. Step 4: Simplify right side
    160,431.13x = 22,805,021,484.83
  5. Step 5: Solve for x
    x = 22,805,021,484.83/160,431.13
  6. Step 6: Final answer
    x = 142,148.36

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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.