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Finding the Fourth Proportional to 98,081.88, 147,270.44 and 56,009.46

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Solution

The fourth proportional to 98,081.88, 147,270.44 and 56,009.46 is: 84,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081.88 : 147,270.44 = 56,009.46 : x
  2. Step 2: Convert to fraction form
    98,081.88/147,270.44 = 56,009.46/x
  3. Step 3: Cross multiply
    98,081.88x = 147,270.44 × 56,009.46
  4. Step 4: Simplify right side
    98,081.88x = 8,248,537,538.32
  5. Step 5: Solve for x
    x = 8,248,537,538.32/98,081.88
  6. Step 6: Final answer
    x = 84,098.49

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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.