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Finding the Fourth Proportional to 102,430.16, 141,303.38 and 68,446.99

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Solution

The fourth proportional to 102,430.16, 141,303.38 and 68,446.99 is: 94,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,430.16 : 141,303.38 = 68,446.99 : x
  2. Step 2: Convert to fraction form
    102,430.16/141,303.38 = 68,446.99/x
  3. Step 3: Cross multiply
    102,430.16x = 141,303.38 × 68,446.99
  4. Step 4: Simplify right side
    102,430.16x = 9,671,790,604.52
  5. Step 5: Solve for x
    x = 9,671,790,604.52/102,430.16
  6. Step 6: Final answer
    x = 94,423.27

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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.