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Finding the Fourth Proportional to 183,030.96, 274,482.12 and 54,909.04

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Solution

The fourth proportional to 183,030.96, 274,482.12 and 54,909.04 is: 82,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,030.96 : 274,482.12 = 54,909.04 : x
  2. Step 2: Convert to fraction form
    183,030.96/274,482.12 = 54,909.04/x
  3. Step 3: Cross multiply
    183,030.96x = 274,482.12 × 54,909.04
  4. Step 4: Simplify right side
    183,030.96x = 15,071,549,706.36
  5. Step 5: Solve for x
    x = 15,071,549,706.36/183,030.96
  6. Step 6: Final answer
    x = 82,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.