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Finding the Fourth Proportional to 184,322.90, 276,041.48 and 105,197.24

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Solution

The fourth proportional to 184,322.90, 276,041.48 and 105,197.24 is: 157,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,322.90 : 276,041.48 = 105,197.24 : x
  2. Step 2: Convert to fraction form
    184,322.90/276,041.48 = 105,197.24/x
  3. Step 3: Cross multiply
    184,322.90x = 276,041.48 × 105,197.24
  4. Step 4: Simplify right side
    184,322.90x = 29,038,799,915.32
  5. Step 5: Solve for x
    x = 29,038,799,915.32/184,322.90
  6. Step 6: Final answer
    x = 157,543.10

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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.