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Finding the Fourth Proportional to 232,365.42, 320,663.37 and 130,390.64

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Solution

The fourth proportional to 232,365.42, 320,663.37 and 130,390.64 is: 179,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,365.42 : 320,663.37 = 130,390.64 : x
  2. Step 2: Convert to fraction form
    232,365.42/320,663.37 = 130,390.64/x
  3. Step 3: Cross multiply
    232,365.42x = 320,663.37 × 130,390.64
  4. Step 4: Simplify right side
    232,365.42x = 41,811,502,038.86
  5. Step 5: Solve for x
    x = 41,811,502,038.86/232,365.42
  6. Step 6: Final answer
    x = 179,938.57

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1.5x scale

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.