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Finding the Fourth Proportional to 159,833.86, 240,022.95 and 153,146.50

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Solution

The fourth proportional to 159,833.86, 240,022.95 and 153,146.50 is: 229,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,833.86 : 240,022.95 = 153,146.50 : x
  2. Step 2: Convert to fraction form
    159,833.86/240,022.95 = 153,146.50/x
  3. Step 3: Cross multiply
    159,833.86x = 240,022.95 × 153,146.50
  4. Step 4: Simplify right side
    159,833.86x = 36,758,674,712.18
  5. Step 5: Solve for x
    x = 36,758,674,712.18/159,833.86
  6. Step 6: Final answer
    x = 229,980.52

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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.