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Finding the Fourth Proportional to 153,201.08, 211,415.40 and 86,133.08

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Solution

The fourth proportional to 153,201.08, 211,415.40 and 86,133.08 is: 118,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,201.08 : 211,415.40 = 86,133.08 : x
  2. Step 2: Convert to fraction form
    153,201.08/211,415.40 = 86,133.08/x
  3. Step 3: Cross multiply
    153,201.08x = 211,415.40 × 86,133.08
  4. Step 4: Simplify right side
    153,201.08x = 18,209,859,561.43
  5. Step 5: Solve for x
    x = 18,209,859,561.43/153,201.08
  6. Step 6: Final answer
    x = 118,862.48

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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.