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Finding the Fourth Proportional to 213,804.42, 320,703.26 and 73,564.26

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Solution

The fourth proportional to 213,804.42, 320,703.26 and 73,564.26 is: 110,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,804.42 : 320,703.26 = 73,564.26 : x
  2. Step 2: Convert to fraction form
    213,804.42/320,703.26 = 73,564.26/x
  3. Step 3: Cross multiply
    213,804.42x = 320,703.26 × 73,564.26
  4. Step 4: Simplify right side
    213,804.42x = 23,592,298,001.49
  5. Step 5: Solve for x
    x = 23,592,298,001.49/213,804.42
  6. Step 6: Final answer
    x = 110,345.23

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1.5x scale

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.