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Finding the Fourth Proportional to 130,222, 179,707.44 and 70,606

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Solution

The fourth proportional to 130,222, 179,707.44 and 70,606 is: 97,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,222 : 179,707.44 = 70,606 : x
  2. Step 2: Convert to fraction form
    130,222/179,707.44 = 70,606/x
  3. Step 3: Cross multiply
    130,222x = 179,707.44 × 70,606
  4. Step 4: Simplify right side
    130,222x = 12,688,423,508.64
  5. Step 5: Solve for x
    x = 12,688,423,508.64/130,222
  6. Step 6: Final answer
    x = 97,436.87

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