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Finding the Fourth Proportional to 259,709.63, 358,421.15 and 146,554.25

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Solution

The fourth proportional to 259,709.63, 358,421.15 and 146,554.25 is: 202,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,709.63 : 358,421.15 = 146,554.25 : x
  2. Step 2: Convert to fraction form
    259,709.63/358,421.15 = 146,554.25/x
  3. Step 3: Cross multiply
    259,709.63x = 358,421.15 × 146,554.25
  4. Step 4: Simplify right side
    259,709.63x = 52,528,141,396.67
  5. Step 5: Solve for x
    x = 52,528,141,396.67/259,709.63
  6. Step 6: Final answer
    x = 202,257.20

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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.