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Finding the Fourth Proportional to 130,188.84, 179,652.10 and 72,818.22

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Solution

The fourth proportional to 130,188.84, 179,652.10 and 72,818.22 is: 100,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,188.84 : 179,652.10 = 72,818.22 : x
  2. Step 2: Convert to fraction form
    130,188.84/179,652.10 = 72,818.22/x
  3. Step 3: Cross multiply
    130,188.84x = 179,652.10 × 72,818.22
  4. Step 4: Simplify right side
    130,188.84x = 13,081,946,141.26
  5. Step 5: Solve for x
    x = 13,081,946,141.26/130,188.84
  6. Step 6: Final answer
    x = 100,484.39

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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.