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Finding the Fourth Proportional to 106,291.98, 159,328.59 and 47,155.50

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Solution

The fourth proportional to 106,291.98, 159,328.59 and 47,155.50 is: 70,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291.98 : 159,328.59 = 47,155.50 : x
  2. Step 2: Convert to fraction form
    106,291.98/159,328.59 = 47,155.50/x
  3. Step 3: Cross multiply
    106,291.98x = 159,328.59 × 47,155.50
  4. Step 4: Simplify right side
    106,291.98x = 7,513,219,325.75
  5. Step 5: Solve for x
    x = 7,513,219,325.75/106,291.98
  6. Step 6: Final answer
    x = 70,684.72

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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.