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Finding the Fourth Proportional to 201,461.04, 278,002.53 and 116,590.86

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Solution

The fourth proportional to 201,461.04, 278,002.53 and 116,590.86 is: 160,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.04 : 278,002.53 = 116,590.86 : x
  2. Step 2: Convert to fraction form
    201,461.04/278,002.53 = 116,590.86/x
  3. Step 3: Cross multiply
    201,461.04x = 278,002.53 × 116,590.86
  4. Step 4: Simplify right side
    201,461.04x = 32,412,554,054.88
  5. Step 5: Solve for x
    x = 32,412,554,054.88/201,461.04
  6. Step 6: Final answer
    x = 160,887.46

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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.