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Finding the Fourth Proportional to 152,421.33, 210,354.35 and 84,459.62

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Solution

The fourth proportional to 152,421.33, 210,354.35 and 84,459.62 is: 116,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,421.33 : 210,354.35 = 84,459.62 : x
  2. Step 2: Convert to fraction form
    152,421.33/210,354.35 = 84,459.62/x
  3. Step 3: Cross multiply
    152,421.33x = 210,354.35 × 84,459.62
  4. Step 4: Simplify right side
    152,421.33x = 17,766,447,940.46
  5. Step 5: Solve for x
    x = 17,766,447,940.46/152,421.33
  6. Step 6: Final answer
    x = 116,561.43

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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.