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Finding the Fourth Proportional to 169,348.84, 233,648.22 and 97,719.46

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Solution

The fourth proportional to 169,348.84, 233,648.22 and 97,719.46 is: 134,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,348.84 : 233,648.22 = 97,719.46 : x
  2. Step 2: Convert to fraction form
    169,348.84/233,648.22 = 97,719.46/x
  3. Step 3: Cross multiply
    169,348.84x = 233,648.22 × 97,719.46
  4. Step 4: Simplify right side
    169,348.84x = 22,831,977,888.36
  5. Step 5: Solve for x
    x = 22,831,977,888.36/169,348.84
  6. Step 6: Final answer
    x = 134,822.17

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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.