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Finding the Fourth Proportional to 152,341.30, 210,228.41 and 84,356.82

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Solution

The fourth proportional to 152,341.30, 210,228.41 and 84,356.82 is: 116,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,341.30 : 210,228.41 = 84,356.82 : x
  2. Step 2: Convert to fraction form
    152,341.30/210,228.41 = 84,356.82/x
  3. Step 3: Cross multiply
    152,341.30x = 210,228.41 × 84,356.82
  4. Step 4: Simplify right side
    152,341.30x = 17,734,200,352.15
  5. Step 5: Solve for x
    x = 17,734,200,352.15/152,341.30
  6. Step 6: Final answer
    x = 116,410.98

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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.