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Finding the Fourth Proportional to 233,537.60, 322,342.01 and 152,069.20

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Solution

The fourth proportional to 233,537.60, 322,342.01 and 152,069.20 is: 209,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,537.60 : 322,342.01 = 152,069.20 : x
  2. Step 2: Convert to fraction form
    233,537.60/322,342.01 = 152,069.20/x
  3. Step 3: Cross multiply
    233,537.60x = 322,342.01 × 152,069.20
  4. Step 4: Simplify right side
    233,537.60x = 49,018,291,587.09
  5. Step 5: Solve for x
    x = 49,018,291,587.09/233,537.60
  6. Step 6: Final answer
    x = 209,894.64

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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.