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Finding the Fourth Proportional to 349,106.80, 523,701.19 and 124,499.16

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Solution

The fourth proportional to 349,106.80, 523,701.19 and 124,499.16 is: 186,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,106.80 : 523,701.19 = 124,499.16 : x
  2. Step 2: Convert to fraction form
    349,106.80/523,701.19 = 124,499.16/x
  3. Step 3: Cross multiply
    349,106.80x = 523,701.19 × 124,499.16
  4. Step 4: Simplify right side
    349,106.80x = 65,200,355,627.49
  5. Step 5: Solve for x
    x = 65,200,355,627.49/349,106.80
  6. Step 6: Final answer
    x = 186,763.35

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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.