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Finding the Fourth Proportional to 283,413.19, 424,972.15 and 105,774.11

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Solution

The fourth proportional to 283,413.19, 424,972.15 and 105,774.11 is: 158,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,413.19 : 424,972.15 = 105,774.11 : x
  2. Step 2: Convert to fraction form
    283,413.19/424,972.15 = 105,774.11/x
  3. Step 3: Cross multiply
    283,413.19x = 424,972.15 × 105,774.11
  4. Step 4: Simplify right side
    283,413.19x = 44,951,050,941.04
  5. Step 5: Solve for x
    x = 44,951,050,941.04/283,413.19
  6. Step 6: Final answer
    x = 158,606.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.