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Finding the Fourth Proportional to 94,378.40, 130,218.64 and 60,804

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Solution

The fourth proportional to 94,378.40, 130,218.64 and 60,804 is: 83,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,378.40 : 130,218.64 = 60,804 : x
  2. Step 2: Convert to fraction form
    94,378.40/130,218.64 = 60,804/x
  3. Step 3: Cross multiply
    94,378.40x = 130,218.64 × 60,804
  4. Step 4: Simplify right side
    94,378.40x = 7,917,814,186.56
  5. Step 5: Solve for x
    x = 7,917,814,186.56/94,378.40
  6. Step 6: Final answer
    x = 83,894.35

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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.