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Finding the Fourth Proportional to 233,095.75, 321,362.44 and 152,384.51

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Solution

The fourth proportional to 233,095.75, 321,362.44 and 152,384.51 is: 210,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,095.75 : 321,362.44 = 152,384.51 : x
  2. Step 2: Convert to fraction form
    233,095.75/321,362.44 = 152,384.51/x
  3. Step 3: Cross multiply
    233,095.75x = 321,362.44 × 152,384.51
  4. Step 4: Simplify right side
    233,095.75x = 48,970,657,189.88
  5. Step 5: Solve for x
    x = 48,970,657,189.88/233,095.75
  6. Step 6: Final answer
    x = 210,088.16

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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.