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Finding the Fourth Proportional to 160,533.23, 221,041.25 and 142,597.10

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Solution

The fourth proportional to 160,533.23, 221,041.25 and 142,597.10 is: 196,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,533.23 : 221,041.25 = 142,597.10 : x
  2. Step 2: Convert to fraction form
    160,533.23/221,041.25 = 142,597.10/x
  3. Step 3: Cross multiply
    160,533.23x = 221,041.25 × 142,597.10
  4. Step 4: Simplify right side
    160,533.23x = 31,519,839,412.18
  5. Step 5: Solve for x
    x = 31,519,839,412.18/160,533.23
  6. Step 6: Final answer
    x = 196,344.65

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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.