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Finding the Fourth Proportional to 155,312.33, 232,993.14 and 50,106.69

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Solution

The fourth proportional to 155,312.33, 232,993.14 and 50,106.69 is: 75,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,312.33 : 232,993.14 = 50,106.69 : x
  2. Step 2: Convert to fraction form
    155,312.33/232,993.14 = 50,106.69/x
  3. Step 3: Cross multiply
    155,312.33x = 232,993.14 × 50,106.69
  4. Step 4: Simplify right side
    155,312.33x = 11,674,515,038.11
  5. Step 5: Solve for x
    x = 11,674,515,038.11/155,312.33
  6. Step 6: Final answer
    x = 75,167.99

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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.