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Finding the Fourth Proportional to 152,210.88, 210,051.36 and 84,232.80

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Solution

The fourth proportional to 152,210.88, 210,051.36 and 84,232.80 is: 116,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,210.88 : 210,051.36 = 84,232.80 : x
  2. Step 2: Convert to fraction form
    152,210.88/210,051.36 = 84,232.80/x
  3. Step 3: Cross multiply
    152,210.88x = 210,051.36 × 84,232.80
  4. Step 4: Simplify right side
    152,210.88x = 17,693,214,196.61
  5. Step 5: Solve for x
    x = 17,693,214,196.61/152,210.88
  6. Step 6: Final answer
    x = 116,241.46

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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.