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Finding the Fourth Proportional to 259,710, 358,421.67 and 146,554.62

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Solution

The fourth proportional to 259,710, 358,421.67 and 146,554.62 is: 202,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710 : 358,421.67 = 146,554.62 : x
  2. Step 2: Convert to fraction form
    259,710/358,421.67 = 146,554.62/x
  3. Step 3: Cross multiply
    259,710x = 358,421.67 × 146,554.62
  4. Step 4: Simplify right side
    259,710x = 52,528,351,646.62
  5. Step 5: Solve for x
    x = 52,528,351,646.62/259,710
  6. Step 6: Final answer
    x = 202,257.72

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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.