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Finding the Fourth Proportional to 149,129.64, 205,802.33 and 84,603.20

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Solution

The fourth proportional to 149,129.64, 205,802.33 and 84,603.20 is: 116,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.64 : 205,802.33 = 84,603.20 : x
  2. Step 2: Convert to fraction form
    149,129.64/205,802.33 = 84,603.20/x
  3. Step 3: Cross multiply
    149,129.64x = 205,802.33 × 84,603.20
  4. Step 4: Simplify right side
    149,129.64x = 17,411,534,233.43
  5. Step 5: Solve for x
    x = 17,411,534,233.43/149,129.64
  6. Step 6: Final answer
    x = 116,754.35

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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.