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Finding the Fourth Proportional to 208,237.90, 312,317.44 and 101,514.74

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Solution

The fourth proportional to 208,237.90, 312,317.44 and 101,514.74 is: 152,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,237.90 : 312,317.44 = 101,514.74 : x
  2. Step 2: Convert to fraction form
    208,237.90/312,317.44 = 101,514.74/x
  3. Step 3: Cross multiply
    208,237.90x = 312,317.44 × 101,514.74
  4. Step 4: Simplify right side
    208,237.90x = 31,704,823,719.07
  5. Step 5: Solve for x
    x = 31,704,823,719.07/208,237.90
  6. Step 6: Final answer
    x = 152,252.90

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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.