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Finding the Fourth Proportional to 176,064.20, 263,804.70 and 149,820.20

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Solution

The fourth proportional to 176,064.20, 263,804.70 and 149,820.20 is: 224,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064.20 : 263,804.70 = 149,820.20 : x
  2. Step 2: Convert to fraction form
    176,064.20/263,804.70 = 149,820.20/x
  3. Step 3: Cross multiply
    176,064.20x = 263,804.70 × 149,820.20
  4. Step 4: Simplify right side
    176,064.20x = 39,523,272,914.94
  5. Step 5: Solve for x
    x = 39,523,272,914.94/176,064.20
  6. Step 6: Final answer
    x = 224,482.17

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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.