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Finding the Fourth Proportional to 114,985.20, 172,477.80 and 99,778.80

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Solution

The fourth proportional to 114,985.20, 172,477.80 and 99,778.80 is: 149,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,985.20 : 172,477.80 = 99,778.80 : x
  2. Step 2: Convert to fraction form
    114,985.20/172,477.80 = 99,778.80/x
  3. Step 3: Cross multiply
    114,985.20x = 172,477.80 × 99,778.80
  4. Step 4: Simplify right side
    114,985.20x = 17,209,627,910.64
  5. Step 5: Solve for x
    x = 17,209,627,910.64/114,985.20
  6. Step 6: Final answer
    x = 149,668.20

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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.