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Finding the Fourth Proportional to 152,407.17, 210,322.78 and 84,422.66

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Solution

The fourth proportional to 152,407.17, 210,322.78 and 84,422.66 is: 116,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.17 : 210,322.78 = 84,422.66 : x
  2. Step 2: Convert to fraction form
    152,407.17/210,322.78 = 84,422.66/x
  3. Step 3: Cross multiply
    152,407.17x = 210,322.78 × 84,422.66
  4. Step 4: Simplify right side
    152,407.17x = 17,756,007,283.52
  5. Step 5: Solve for x
    x = 17,756,007,283.52/152,407.17
  6. Step 6: Final answer
    x = 116,503.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.