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Finding the Fourth Proportional to 158,009.50, 237,014.25 and 47,201.50

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Solution

The fourth proportional to 158,009.50, 237,014.25 and 47,201.50 is: 70,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,009.50 : 237,014.25 = 47,201.50 : x
  2. Step 2: Convert to fraction form
    158,009.50/237,014.25 = 47,201.50/x
  3. Step 3: Cross multiply
    158,009.50x = 237,014.25 × 47,201.50
  4. Step 4: Simplify right side
    158,009.50x = 11,187,428,121.38
  5. Step 5: Solve for x
    x = 11,187,428,121.38/158,009.50
  6. Step 6: Final answer
    x = 70,802.25

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1.5x scale

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.