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Finding the Fourth Proportional to 164,077.65, 230,408.55 and 164,077.65

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Solution

The fourth proportional to 164,077.65, 230,408.55 and 164,077.65 is: 230,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,077.65 : 230,408.55 = 164,077.65 : x
  2. Step 2: Convert to fraction form
    164,077.65/230,408.55 = 164,077.65/x
  3. Step 3: Cross multiply
    164,077.65x = 230,408.55 × 164,077.65
  4. Step 4: Simplify right side
    164,077.65x = 37,804,893,423.91
  5. Step 5: Solve for x
    x = 37,804,893,423.91/164,077.65
  6. Step 6: Final answer
    x = 230,408.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.