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Finding the Fourth Proportional to 130,073, 179,500.74 and 70,457

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Solution

The fourth proportional to 130,073, 179,500.74 and 70,457 is: 97,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,073 : 179,500.74 = 70,457 : x
  2. Step 2: Convert to fraction form
    130,073/179,500.74 = 70,457/x
  3. Step 3: Cross multiply
    130,073x = 179,500.74 × 70,457
  4. Step 4: Simplify right side
    130,073x = 12,647,083,638.18
  5. Step 5: Solve for x
    x = 12,647,083,638.18/130,073
  6. Step 6: Final answer
    x = 97,230.66

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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.