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Finding the Fourth Proportional to 153,987, 230,980.50 and 37,251

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Solution

The fourth proportional to 153,987, 230,980.50 and 37,251 is: 55,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,987 : 230,980.50 = 37,251 : x
  2. Step 2: Convert to fraction form
    153,987/230,980.50 = 37,251/x
  3. Step 3: Cross multiply
    153,987x = 230,980.50 × 37,251
  4. Step 4: Simplify right side
    153,987x = 8,604,254,605.50
  5. Step 5: Solve for x
    x = 8,604,254,605.50/153,987
  6. Step 6: Final answer
    x = 55,876.50

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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.