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Finding the Fourth Proportional to 152,643.10, 210,660.42 and 84,681.98

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Solution

The fourth proportional to 152,643.10, 210,660.42 and 84,681.98 is: 116,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,643.10 : 210,660.42 = 84,681.98 : x
  2. Step 2: Convert to fraction form
    152,643.10/210,660.42 = 84,681.98/x
  3. Step 3: Cross multiply
    152,643.10x = 210,660.42 × 84,681.98
  4. Step 4: Simplify right side
    152,643.10x = 17,839,141,473.23
  5. Step 5: Solve for x
    x = 17,839,141,473.23/152,643.10
  6. Step 6: Final answer
    x = 116,868.31

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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.