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Finding the Fourth Proportional to 282,486.42, 423,728.86 and 102,571.50

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Solution

The fourth proportional to 282,486.42, 423,728.86 and 102,571.50 is: 153,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,486.42 : 423,728.86 = 102,571.50 : x
  2. Step 2: Convert to fraction form
    282,486.42/423,728.86 = 102,571.50/x
  3. Step 3: Cross multiply
    282,486.42x = 423,728.86 × 102,571.50
  4. Step 4: Simplify right side
    282,486.42x = 43,462,502,866.85
  5. Step 5: Solve for x
    x = 43,462,502,866.85/282,486.42
  6. Step 6: Final answer
    x = 153,856.96

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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.