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Finding the Fourth Proportional to 152,642.36, 210,643.31 and 84,648.36

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Solution

The fourth proportional to 152,642.36, 210,643.31 and 84,648.36 is: 116,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,642.36 : 210,643.31 = 84,648.36 : x
  2. Step 2: Convert to fraction form
    152,642.36/210,643.31 = 84,648.36/x
  3. Step 3: Cross multiply
    152,642.36x = 210,643.31 × 84,648.36
  4. Step 4: Simplify right side
    152,642.36x = 17,830,610,313.23
  5. Step 5: Solve for x
    x = 17,830,610,313.23/152,642.36
  6. Step 6: Final answer
    x = 116,812.99

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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.