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Finding the Fourth Proportional to 152,403.62, 210,307.73 and 84,416.63

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Solution

The fourth proportional to 152,403.62, 210,307.73 and 84,416.63 is: 116,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,403.62 : 210,307.73 = 84,416.63 : x
  2. Step 2: Convert to fraction form
    152,403.62/210,307.73 = 84,416.63/x
  3. Step 3: Cross multiply
    152,403.62x = 210,307.73 × 84,416.63
  4. Step 4: Simplify right side
    152,403.62x = 17,753,468,355.93
  5. Step 5: Solve for x
    x = 17,753,468,355.93/152,403.62
  6. Step 6: Final answer
    x = 116,489.81

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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.