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Finding the Fourth Proportional to 153,905.78, 212,389.14 and 85,918.82

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Solution

The fourth proportional to 153,905.78, 212,389.14 and 85,918.82 is: 118,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,905.78 : 212,389.14 = 85,918.82 : x
  2. Step 2: Convert to fraction form
    153,905.78/212,389.14 = 85,918.82/x
  3. Step 3: Cross multiply
    153,905.78x = 212,389.14 × 85,918.82
  4. Step 4: Simplify right side
    153,905.78x = 18,248,224,289.61
  5. Step 5: Solve for x
    x = 18,248,224,289.61/153,905.78
  6. Step 6: Final answer
    x = 118,567.50

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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.