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Finding the Fourth Proportional to 173,098.64, 238,880.40 and 97,652

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Solution

The fourth proportional to 173,098.64, 238,880.40 and 97,652 is: 134,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,098.64 : 238,880.40 = 97,652 : x
  2. Step 2: Convert to fraction form
    173,098.64/238,880.40 = 97,652/x
  3. Step 3: Cross multiply
    173,098.64x = 238,880.40 × 97,652
  4. Step 4: Simplify right side
    173,098.64x = 23,327,148,820.80
  5. Step 5: Solve for x
    x = 23,327,148,820.80/173,098.64
  6. Step 6: Final answer
    x = 134,762.17

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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.