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Finding the Fourth Proportional to 153,491.84, 230,206.72 and 53,656.32

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Solution

The fourth proportional to 153,491.84, 230,206.72 and 53,656.32 is: 80,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,491.84 : 230,206.72 = 53,656.32 : x
  2. Step 2: Convert to fraction form
    153,491.84/230,206.72 = 53,656.32/x
  3. Step 3: Cross multiply
    153,491.84x = 230,206.72 × 53,656.32
  4. Step 4: Simplify right side
    153,491.84x = 12,352,045,434.47
  5. Step 5: Solve for x
    x = 12,352,045,434.47/153,491.84
  6. Step 6: Final answer
    x = 80,473.63

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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.