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Finding the Fourth Proportional to 150,117.36, 207,332.02 and 102,287.67

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Solution

The fourth proportional to 150,117.36, 207,332.02 and 102,287.67 is: 141,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,117.36 : 207,332.02 = 102,287.67 : x
  2. Step 2: Convert to fraction form
    150,117.36/207,332.02 = 102,287.67/x
  3. Step 3: Cross multiply
    150,117.36x = 207,332.02 × 102,287.67
  4. Step 4: Simplify right side
    150,117.36x = 21,207,509,242.19
  5. Step 5: Solve for x
    x = 21,207,509,242.19/150,117.36
  6. Step 6: Final answer
    x = 141,272.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.