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Finding the Fourth Proportional to 201,973.86, 278,739.99 and 111,346.02

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Solution

The fourth proportional to 201,973.86, 278,739.99 and 111,346.02 is: 153,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,973.86 : 278,739.99 = 111,346.02 : x
  2. Step 2: Convert to fraction form
    201,973.86/278,739.99 = 111,346.02/x
  3. Step 3: Cross multiply
    201,973.86x = 278,739.99 × 111,346.02
  4. Step 4: Simplify right side
    201,973.86x = 31,036,588,501.34
  5. Step 5: Solve for x
    x = 31,036,588,501.34/201,973.86
  6. Step 6: Final answer
    x = 153,666.36

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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.