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Finding the Fourth Proportional to 212,036.76, 292,614.48 and 116,543.16

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Solution

The fourth proportional to 212,036.76, 292,614.48 and 116,543.16 is: 160,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,036.76 : 292,614.48 = 116,543.16 : x
  2. Step 2: Convert to fraction form
    212,036.76/292,614.48 = 116,543.16/x
  3. Step 3: Cross multiply
    212,036.76x = 292,614.48 × 116,543.16
  4. Step 4: Simplify right side
    212,036.76x = 34,102,216,160.96
  5. Step 5: Solve for x
    x = 34,102,216,160.96/212,036.76
  6. Step 6: Final answer
    x = 160,831.62

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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.