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Finding the Fourth Proportional to 184,985.80, 277,478.70 and 157,429.60

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Solution

The fourth proportional to 184,985.80, 277,478.70 and 157,429.60 is: 236,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,985.80 : 277,478.70 = 157,429.60 : x
  2. Step 2: Convert to fraction form
    184,985.80/277,478.70 = 157,429.60/x
  3. Step 3: Cross multiply
    184,985.80x = 277,478.70 × 157,429.60
  4. Step 4: Simplify right side
    184,985.80x = 43,683,360,749.52
  5. Step 5: Solve for x
    x = 43,683,360,749.52/184,985.80
  6. Step 6: Final answer
    x = 236,144.40

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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.