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Finding the Fourth Proportional to 205,023.59, 282,681.19 and 168,597.74

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Solution

The fourth proportional to 205,023.59, 282,681.19 and 168,597.74 is: 232,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,023.59 : 282,681.19 = 168,597.74 : x
  2. Step 2: Convert to fraction form
    205,023.59/282,681.19 = 168,597.74/x
  3. Step 3: Cross multiply
    205,023.59x = 282,681.19 × 168,597.74
  4. Step 4: Simplify right side
    205,023.59x = 47,659,409,774.51
  5. Step 5: Solve for x
    x = 47,659,409,774.51/205,023.59
  6. Step 6: Final answer
    x = 232,458.18

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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.