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Finding the Fourth Proportional to 213,467.60, 319,740.60 and 176,603.60

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Solution

The fourth proportional to 213,467.60, 319,740.60 and 176,603.60 is: 264,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,467.60 : 319,740.60 = 176,603.60 : x
  2. Step 2: Convert to fraction form
    213,467.60/319,740.60 = 176,603.60/x
  3. Step 3: Cross multiply
    213,467.60x = 319,740.60 × 176,603.60
  4. Step 4: Simplify right side
    213,467.60x = 56,467,341,026.16
  5. Step 5: Solve for x
    x = 56,467,341,026.16/213,467.60
  6. Step 6: Final answer
    x = 264,524.18

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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.