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Finding the Fourth Proportional to 212,184.32, 292,808.51 and 116,691

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Solution

The fourth proportional to 212,184.32, 292,808.51 and 116,691 is: 161,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,184.32 : 292,808.51 = 116,691 : x
  2. Step 2: Convert to fraction form
    212,184.32/292,808.51 = 116,691/x
  3. Step 3: Cross multiply
    212,184.32x = 292,808.51 × 116,691
  4. Step 4: Simplify right side
    212,184.32x = 34,168,117,840.41
  5. Step 5: Solve for x
    x = 34,168,117,840.41/212,184.32
  6. Step 6: Final answer
    x = 161,030.36

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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.