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Finding the Fourth Proportional to 259,804.52, 358,522.98 and 146,637.80

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Solution

The fourth proportional to 259,804.52, 358,522.98 and 146,637.80 is: 202,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,804.52 : 358,522.98 = 146,637.80 : x
  2. Step 2: Convert to fraction form
    259,804.52/358,522.98 = 146,637.80/x
  3. Step 3: Cross multiply
    259,804.52x = 358,522.98 × 146,637.80
  4. Step 4: Simplify right side
    259,804.52x = 52,573,021,036.64
  5. Step 5: Solve for x
    x = 52,573,021,036.64/259,804.52
  6. Step 6: Final answer
    x = 202,356.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.