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Finding the Fourth Proportional to 152,006.58, 209,768.58 and 84,938.58

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Solution

The fourth proportional to 152,006.58, 209,768.58 and 84,938.58 is: 117,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.58 : 209,768.58 = 84,938.58 : x
  2. Step 2: Convert to fraction form
    152,006.58/209,768.58 = 84,938.58/x
  3. Step 3: Cross multiply
    152,006.58x = 209,768.58 × 84,938.58
  4. Step 4: Simplify right side
    152,006.58x = 17,817,445,313.82
  5. Step 5: Solve for x
    x = 17,817,445,313.82/152,006.58
  6. Step 6: Final answer
    x = 117,214.96

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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.