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Finding the Fourth Proportional to 106,732, 147,293.10 and 58,988.44

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Solution

The fourth proportional to 106,732, 147,293.10 and 58,988.44 is: 81,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,732 : 147,293.10 = 58,988.44 : x
  2. Step 2: Convert to fraction form
    106,732/147,293.10 = 58,988.44/x
  3. Step 3: Cross multiply
    106,732x = 147,293.10 × 58,988.44
  4. Step 4: Simplify right side
    106,732x = 8,688,590,191.76
  5. Step 5: Solve for x
    x = 8,688,590,191.76/106,732
  6. Step 6: Final answer
    x = 81,405.67

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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.