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Finding the Fourth Proportional to 152,051.46, 209,827.32 and 84,066.68

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Solution

The fourth proportional to 152,051.46, 209,827.32 and 84,066.68 is: 116,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,051.46 : 209,827.32 = 84,066.68 : x
  2. Step 2: Convert to fraction form
    152,051.46/209,827.32 = 84,066.68/x
  3. Step 3: Cross multiply
    152,051.46x = 209,827.32 × 84,066.68
  4. Step 4: Simplify right side
    152,051.46x = 17,639,486,165.70
  5. Step 5: Solve for x
    x = 17,639,486,165.70/152,051.46
  6. Step 6: Final answer
    x = 116,009.98

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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.