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Finding the Fourth Proportional to 232,653.57, 320,980.16 and 152,128.23

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Solution

The fourth proportional to 232,653.57, 320,980.16 and 152,128.23 is: 209,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,653.57 : 320,980.16 = 152,128.23 : x
  2. Step 2: Convert to fraction form
    232,653.57/320,980.16 = 152,128.23/x
  3. Step 3: Cross multiply
    232,653.57x = 320,980.16 × 152,128.23
  4. Step 4: Simplify right side
    232,653.57x = 48,830,141,240.37
  5. Step 5: Solve for x
    x = 48,830,141,240.37/232,653.57
  6. Step 6: Final answer
    x = 209,883.49

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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.