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Finding the Fourth Proportional to 140,624.63, 210,690.87 and 117,083.40

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Solution

The fourth proportional to 140,624.63, 210,690.87 and 117,083.40 is: 175,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,624.63 : 210,690.87 = 117,083.40 : x
  2. Step 2: Convert to fraction form
    140,624.63/210,690.87 = 117,083.40/x
  3. Step 3: Cross multiply
    140,624.63x = 210,690.87 × 117,083.40
  4. Step 4: Simplify right side
    140,624.63x = 24,668,403,430.57
  5. Step 5: Solve for x
    x = 24,668,403,430.57/140,624.63
  6. Step 6: Final answer
    x = 175,420.22

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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.