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Finding the Fourth Proportional to 142,427.65, 213,715.75 and 103,307.69

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Solution

The fourth proportional to 142,427.65, 213,715.75 and 103,307.69 is: 155,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,427.65 : 213,715.75 = 103,307.69 : x
  2. Step 2: Convert to fraction form
    142,427.65/213,715.75 = 103,307.69/x
  3. Step 3: Cross multiply
    142,427.65x = 213,715.75 × 103,307.69
  4. Step 4: Simplify right side
    142,427.65x = 22,078,480,449.12
  5. Step 5: Solve for x
    x = 22,078,480,449.12/142,427.65
  6. Step 6: Final answer
    x = 155,015.41

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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.