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Finding the Fourth Proportional to 188,303, 282,454.24 and 48,061.64

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Solution

The fourth proportional to 188,303, 282,454.24 and 48,061.64 is: 72,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,303 : 282,454.24 = 48,061.64 : x
  2. Step 2: Convert to fraction form
    188,303/282,454.24 = 48,061.64/x
  3. Step 3: Cross multiply
    188,303x = 282,454.24 × 48,061.64
  4. Step 4: Simplify right side
    188,303x = 13,575,213,999.35
  5. Step 5: Solve for x
    x = 13,575,213,999.35/188,303
  6. Step 6: Final answer
    x = 72,092.39

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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.