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Finding the Fourth Proportional to 205,258.01, 283,416.23 and 157,435.61

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Solution

The fourth proportional to 205,258.01, 283,416.23 and 157,435.61 is: 217,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,258.01 : 283,416.23 = 157,435.61 : x
  2. Step 2: Convert to fraction form
    205,258.01/283,416.23 = 157,435.61/x
  3. Step 3: Cross multiply
    205,258.01x = 283,416.23 × 157,435.61
  4. Step 4: Simplify right side
    205,258.01x = 44,619,806,030.46
  5. Step 5: Solve for x
    x = 44,619,806,030.46/205,258.01
  6. Step 6: Final answer
    x = 217,384.00

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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.