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Finding the Fourth Proportional to 150,258.95, 225,030.64 and 86,945.65

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Solution

The fourth proportional to 150,258.95, 225,030.64 and 86,945.65 is: 130,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,258.95 : 225,030.64 = 86,945.65 : x
  2. Step 2: Convert to fraction form
    150,258.95/225,030.64 = 86,945.65/x
  3. Step 3: Cross multiply
    150,258.95x = 225,030.64 × 86,945.65
  4. Step 4: Simplify right side
    150,258.95x = 19,565,435,913.60
  5. Step 5: Solve for x
    x = 19,565,435,913.60/150,258.95
  6. Step 6: Final answer
    x = 130,211.45

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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.