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Finding the Fourth Proportional to 242,814.80, 364,999.80 and 173,176.40

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Solution

The fourth proportional to 242,814.80, 364,999.80 and 173,176.40 is: 260,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,814.80 : 364,999.80 = 173,176.40 : x
  2. Step 2: Convert to fraction form
    242,814.80/364,999.80 = 173,176.40/x
  3. Step 3: Cross multiply
    242,814.80x = 364,999.80 × 173,176.40
  4. Step 4: Simplify right side
    242,814.80x = 63,209,351,364.72
  5. Step 5: Solve for x
    x = 63,209,351,364.72/242,814.80
  6. Step 6: Final answer
    x = 260,319.19

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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.