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Finding the Fourth Proportional to 233,536.60, 322,340.63 and 152,068.20

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Solution

The fourth proportional to 233,536.60, 322,340.63 and 152,068.20 is: 209,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,536.60 : 322,340.63 = 152,068.20 : x
  2. Step 2: Convert to fraction form
    233,536.60/322,340.63 = 152,068.20/x
  3. Step 3: Cross multiply
    233,536.60x = 322,340.63 × 152,068.20
  4. Step 4: Simplify right side
    233,536.60x = 49,017,759,390.97
  5. Step 5: Solve for x
    x = 49,017,759,390.97/233,536.60
  6. Step 6: Final answer
    x = 209,893.26

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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.