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Finding the Fourth Proportional to 233,300.16, 321,870 and 152,773.60

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Solution

The fourth proportional to 233,300.16, 321,870 and 152,773.60 is: 210,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,300.16 : 321,870 = 152,773.60 : x
  2. Step 2: Convert to fraction form
    233,300.16/321,870 = 152,773.60/x
  3. Step 3: Cross multiply
    233,300.16x = 321,870 × 152,773.60
  4. Step 4: Simplify right side
    233,300.16x = 49,173,238,632
  5. Step 5: Solve for x
    x = 49,173,238,632/233,300.16
  6. Step 6: Final answer
    x = 210,772.42

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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.