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Finding the Fourth Proportional to 212,239.32, 292,884.08 and 116,746

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Solution

The fourth proportional to 212,239.32, 292,884.08 and 116,746 is: 161,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,239.32 : 292,884.08 = 116,746 : x
  2. Step 2: Convert to fraction form
    212,239.32/292,884.08 = 116,746/x
  3. Step 3: Cross multiply
    212,239.32x = 292,884.08 × 116,746
  4. Step 4: Simplify right side
    212,239.32x = 34,193,044,803.68
  5. Step 5: Solve for x
    x = 34,193,044,803.68/212,239.32
  6. Step 6: Final answer
    x = 161,106.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.