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Finding the Fourth Proportional to 212,200.93, 292,843.47 and 116,713.81

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Solution

The fourth proportional to 212,200.93, 292,843.47 and 116,713.81 is: 161,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,200.93 : 292,843.47 = 116,713.81 : x
  2. Step 2: Convert to fraction form
    212,200.93/292,843.47 = 116,713.81/x
  3. Step 3: Cross multiply
    212,200.93x = 292,843.47 × 116,713.81
  4. Step 4: Simplify right side
    212,200.93x = 34,178,877,117.32
  5. Step 5: Solve for x
    x = 34,178,877,117.32/212,200.93
  6. Step 6: Final answer
    x = 161,068.46

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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.