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Finding the Fourth Proportional to 205,501.76, 283,478.88 and 167,302.40

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Solution

The fourth proportional to 205,501.76, 283,478.88 and 167,302.40 is: 230,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,501.76 : 283,478.88 = 167,302.40 : x
  2. Step 2: Convert to fraction form
    205,501.76/283,478.88 = 167,302.40/x
  3. Step 3: Cross multiply
    205,501.76x = 283,478.88 × 167,302.40
  4. Step 4: Simplify right side
    205,501.76x = 47,426,696,973.31
  5. Step 5: Solve for x
    x = 47,426,696,973.31/205,501.76
  6. Step 6: Final answer
    x = 230,784.87

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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.