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Finding the Fourth Proportional to 153,545.96, 211,796.46 and 105,716.24

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Solution

The fourth proportional to 153,545.96, 211,796.46 and 105,716.24 is: 145,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,545.96 : 211,796.46 = 105,716.24 : x
  2. Step 2: Convert to fraction form
    153,545.96/211,796.46 = 105,716.24/x
  3. Step 3: Cross multiply
    153,545.96x = 211,796.46 × 105,716.24
  4. Step 4: Simplify right side
    153,545.96x = 22,390,325,396.51
  5. Step 5: Solve for x
    x = 22,390,325,396.51/153,545.96
  6. Step 6: Final answer
    x = 145,821.65

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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.