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Finding the Fourth Proportional to 144,462.12, 199,368.14 and 80,820.40

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Solution

The fourth proportional to 144,462.12, 199,368.14 and 80,820.40 is: 111,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,462.12 : 199,368.14 = 80,820.40 : x
  2. Step 2: Convert to fraction form
    144,462.12/199,368.14 = 80,820.40/x
  3. Step 3: Cross multiply
    144,462.12x = 199,368.14 × 80,820.40
  4. Step 4: Simplify right side
    144,462.12x = 16,113,012,822.06
  5. Step 5: Solve for x
    x = 16,113,012,822.06/144,462.12
  6. Step 6: Final answer
    x = 111,537.98

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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.