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Finding the Fourth Proportional to 212,296.96, 292,972.14 and 115,501.37

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Solution

The fourth proportional to 212,296.96, 292,972.14 and 115,501.37 is: 159,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,296.96 : 292,972.14 = 115,501.37 : x
  2. Step 2: Convert to fraction form
    212,296.96/292,972.14 = 115,501.37/x
  3. Step 3: Cross multiply
    212,296.96x = 292,972.14 × 115,501.37
  4. Step 4: Simplify right side
    212,296.96x = 33,838,683,841.13
  5. Step 5: Solve for x
    x = 33,838,683,841.13/212,296.96
  6. Step 6: Final answer
    x = 159,393.16

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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.