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Finding the Fourth Proportional to 118,970.86, 164,184.38 and 65,258.14

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Solution

The fourth proportional to 118,970.86, 164,184.38 and 65,258.14 is: 90,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970.86 : 164,184.38 = 65,258.14 : x
  2. Step 2: Convert to fraction form
    118,970.86/164,184.38 = 65,258.14/x
  3. Step 3: Cross multiply
    118,970.86x = 164,184.38 × 65,258.14
  4. Step 4: Simplify right side
    118,970.86x = 10,714,366,763.82
  5. Step 5: Solve for x
    x = 10,714,366,763.82/118,970.86
  6. Step 6: Final answer
    x = 90,058.75

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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.