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Finding the Fourth Proportional to 153,602.91, 230,369.79 and 55,106.91

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Solution

The fourth proportional to 153,602.91, 230,369.79 and 55,106.91 is: 82,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,602.91 : 230,369.79 = 55,106.91 : x
  2. Step 2: Convert to fraction form
    153,602.91/230,369.79 = 55,106.91/x
  3. Step 3: Cross multiply
    153,602.91x = 230,369.79 × 55,106.91
  4. Step 4: Simplify right side
    153,602.91x = 12,694,967,284.25
  5. Step 5: Solve for x
    x = 12,694,967,284.25/153,602.91
  6. Step 6: Final answer
    x = 82,647.96

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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.