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Finding the Fourth Proportional to 140,005.50, 210,008.26 and 41,509.50

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Solution

The fourth proportional to 140,005.50, 210,008.26 and 41,509.50 is: 62,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,005.50 : 210,008.26 = 41,509.50 : x
  2. Step 2: Convert to fraction form
    140,005.50/210,008.26 = 41,509.50/x
  3. Step 3: Cross multiply
    140,005.50x = 210,008.26 × 41,509.50
  4. Step 4: Simplify right side
    140,005.50x = 8,717,337,868.47
  5. Step 5: Solve for x
    x = 8,717,337,868.47/140,005.50
  6. Step 6: Final answer
    x = 62,264.25

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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.