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Finding the Fourth Proportional to 212,062.32, 292,646.32 and 116,569.60

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Solution

The fourth proportional to 212,062.32, 292,646.32 and 116,569.60 is: 160,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,062.32 : 292,646.32 = 116,569.60 : x
  2. Step 2: Convert to fraction form
    212,062.32/292,646.32 = 116,569.60/x
  3. Step 3: Cross multiply
    212,062.32x = 292,646.32 × 116,569.60
  4. Step 4: Simplify right side
    212,062.32x = 34,113,663,440.83
  5. Step 5: Solve for x
    x = 34,113,663,440.83/212,062.32
  6. Step 6: Final answer
    x = 160,866.22

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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.