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Finding the Fourth Proportional to 259,368.53, 357,931.29 and 146,191.28

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Solution

The fourth proportional to 259,368.53, 357,931.29 and 146,191.28 is: 201,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,368.53 : 357,931.29 = 146,191.28 : x
  2. Step 2: Convert to fraction form
    259,368.53/357,931.29 = 146,191.28/x
  3. Step 3: Cross multiply
    259,368.53x = 357,931.29 × 146,191.28
  4. Step 4: Simplify right side
    259,368.53x = 52,326,431,647.49
  5. Step 5: Solve for x
    x = 52,326,431,647.49/259,368.53
  6. Step 6: Final answer
    x = 201,745.50

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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.