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Finding the Fourth Proportional to 175,644.80, 242,394.54 and 106,710.80

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Solution

The fourth proportional to 175,644.80, 242,394.54 and 106,710.80 is: 147,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,644.80 : 242,394.54 = 106,710.80 : x
  2. Step 2: Convert to fraction form
    175,644.80/242,394.54 = 106,710.80/x
  3. Step 3: Cross multiply
    175,644.80x = 242,394.54 × 106,710.80
  4. Step 4: Simplify right side
    175,644.80x = 25,866,115,885.02
  5. Step 5: Solve for x
    x = 25,866,115,885.02/175,644.80
  6. Step 6: Final answer
    x = 147,263.77

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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.