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Finding the Fourth Proportional to 180,223.52, 248,698.42 and 99,646.21

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Solution

The fourth proportional to 180,223.52, 248,698.42 and 99,646.21 is: 137,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,223.52 : 248,698.42 = 99,646.21 : x
  2. Step 2: Convert to fraction form
    180,223.52/248,698.42 = 99,646.21/x
  3. Step 3: Cross multiply
    180,223.52x = 248,698.42 × 99,646.21
  4. Step 4: Simplify right side
    180,223.52x = 24,781,854,985.99
  5. Step 5: Solve for x
    x = 24,781,854,985.99/180,223.52
  6. Step 6: Final answer
    x = 137,506.22

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1.5x scale

Why These Related Problems?

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