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Finding the Fourth Proportional to 153,555, 230,364.36 and 64,809.24

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Solution

The fourth proportional to 153,555, 230,364.36 and 64,809.24 is: 97,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,555 : 230,364.36 = 64,809.24 : x
  2. Step 2: Convert to fraction form
    153,555/230,364.36 = 64,809.24/x
  3. Step 3: Cross multiply
    153,555x = 230,364.36 × 64,809.24
  4. Step 4: Simplify right side
    153,555x = 14,929,739,094.69
  5. Step 5: Solve for x
    x = 14,929,739,094.69/153,555
  6. Step 6: Final answer
    x = 97,227.31

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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.