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Finding the Fourth Proportional to 138,632.76, 191,312.64 and 74,970.60

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Solution

The fourth proportional to 138,632.76, 191,312.64 and 74,970.60 is: 103,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.76 : 191,312.64 = 74,970.60 : x
  2. Step 2: Convert to fraction form
    138,632.76/191,312.64 = 74,970.60/x
  3. Step 3: Cross multiply
    138,632.76x = 191,312.64 × 74,970.60
  4. Step 4: Simplify right side
    138,632.76x = 14,342,823,408.38
  5. Step 5: Solve for x
    x = 14,342,823,408.38/138,632.76
  6. Step 6: Final answer
    x = 103,459.12

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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.