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Finding the Fourth Proportional to 120,307.80, 180,461.70 and 109,810.20

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Solution

The fourth proportional to 120,307.80, 180,461.70 and 109,810.20 is: 164,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.80 : 180,461.70 = 109,810.20 : x
  2. Step 2: Convert to fraction form
    120,307.80/180,461.70 = 109,810.20/x
  3. Step 3: Cross multiply
    120,307.80x = 180,461.70 × 109,810.20
  4. Step 4: Simplify right side
    120,307.80x = 19,816,535,369.34
  5. Step 5: Solve for x
    x = 19,816,535,369.34/120,307.80
  6. Step 6: Final answer
    x = 164,715.30

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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.