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Finding the Fourth Proportional to 233,133.16, 321,695.01 and 147,059.66

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Solution

The fourth proportional to 233,133.16, 321,695.01 and 147,059.66 is: 202,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.16 : 321,695.01 = 147,059.66 : x
  2. Step 2: Convert to fraction form
    233,133.16/321,695.01 = 147,059.66/x
  3. Step 3: Cross multiply
    233,133.16x = 321,695.01 × 147,059.66
  4. Step 4: Simplify right side
    233,133.16x = 47,308,357,185.82
  5. Step 5: Solve for x
    x = 47,308,357,185.82/233,133.16
  6. Step 6: Final answer
    x = 202,924.19

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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.