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Finding the Fourth Proportional to 184,972, 255,261.36 and 105,484

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Solution

The fourth proportional to 184,972, 255,261.36 and 105,484 is: 145,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,972 : 255,261.36 = 105,484 : x
  2. Step 2: Convert to fraction form
    184,972/255,261.36 = 105,484/x
  3. Step 3: Cross multiply
    184,972x = 255,261.36 × 105,484
  4. Step 4: Simplify right side
    184,972x = 26,925,989,298.24
  5. Step 5: Solve for x
    x = 26,925,989,298.24/184,972
  6. Step 6: Final answer
    x = 145,567.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.