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Finding the Fourth Proportional to 175,700.80, 262,946.40 and 105,630.40

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Solution

The fourth proportional to 175,700.80, 262,946.40 and 105,630.40 is: 158,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,700.80 : 262,946.40 = 105,630.40 : x
  2. Step 2: Convert to fraction form
    175,700.80/262,946.40 = 105,630.40/x
  3. Step 3: Cross multiply
    175,700.80x = 262,946.40 × 105,630.40
  4. Step 4: Simplify right side
    175,700.80x = 27,775,133,410.56
  5. Step 5: Solve for x
    x = 27,775,133,410.56/175,700.80
  6. Step 6: Final answer
    x = 158,082.00

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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.