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Finding the Fourth Proportional to 212,359.83, 293,056.35 and 116,866.53

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Solution

The fourth proportional to 212,359.83, 293,056.35 and 116,866.53 is: 161,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,359.83 : 293,056.35 = 116,866.53 : x
  2. Step 2: Convert to fraction form
    212,359.83/293,056.35 = 116,866.53/x
  3. Step 3: Cross multiply
    212,359.83x = 293,056.35 × 116,866.53
  4. Step 4: Simplify right side
    212,359.83x = 34,248,478,718.97
  5. Step 5: Solve for x
    x = 34,248,478,718.97/212,359.83
  6. Step 6: Final answer
    x = 161,275.69

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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.