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Finding the Fourth Proportional to 110,368.34, 152,386.43 and 86,196.54

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Solution

The fourth proportional to 110,368.34, 152,386.43 and 86,196.54 is: 119,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,368.34 : 152,386.43 = 86,196.54 : x
  2. Step 2: Convert to fraction form
    110,368.34/152,386.43 = 86,196.54/x
  3. Step 3: Cross multiply
    110,368.34x = 152,386.43 × 86,196.54
  4. Step 4: Simplify right side
    110,368.34x = 13,135,182,577.97
  5. Step 5: Solve for x
    x = 13,135,182,577.97/110,368.34
  6. Step 6: Final answer
    x = 119,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.