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Finding the Fourth Proportional to 110,580, 152,547.84 and 74,782.56

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Solution

The fourth proportional to 110,580, 152,547.84 and 74,782.56 is: 103,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,580 : 152,547.84 = 74,782.56 : x
  2. Step 2: Convert to fraction form
    110,580/152,547.84 = 74,782.56/x
  3. Step 3: Cross multiply
    110,580x = 152,547.84 × 74,782.56
  4. Step 4: Simplify right side
    110,580x = 11,407,917,997.67
  5. Step 5: Solve for x
    x = 11,407,917,997.67/110,580
  6. Step 6: Final answer
    x = 103,164.39

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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.