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Finding the Fourth Proportional to 115,594.88, 159,652.56 and 77,803.52

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Solution

The fourth proportional to 115,594.88, 159,652.56 and 77,803.52 is: 107,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,594.88 : 159,652.56 = 77,803.52 : x
  2. Step 2: Convert to fraction form
    115,594.88/159,652.56 = 77,803.52/x
  3. Step 3: Cross multiply
    115,594.88x = 159,652.56 × 77,803.52
  4. Step 4: Simplify right side
    115,594.88x = 12,421,531,145.01
  5. Step 5: Solve for x
    x = 12,421,531,145.01/115,594.88
  6. Step 6: Final answer
    x = 107,457.45

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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.