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Finding the Fourth Proportional to 110,152, 152,008.64 and 59,851.20

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Solution

The fourth proportional to 110,152, 152,008.64 and 59,851.20 is: 82,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,152 : 152,008.64 = 59,851.20 : x
  2. Step 2: Convert to fraction form
    110,152/152,008.64 = 59,851.20/x
  3. Step 3: Cross multiply
    110,152x = 152,008.64 × 59,851.20
  4. Step 4: Simplify right side
    110,152x = 9,097,899,514.37
  5. Step 5: Solve for x
    x = 9,097,899,514.37/110,152
  6. Step 6: Final answer
    x = 82,594.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.