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Finding the Fourth Proportional to 259,368.78, 357,931.64 and 146,191.53

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Solution

The fourth proportional to 259,368.78, 357,931.64 and 146,191.53 is: 201,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,368.78 : 357,931.64 = 146,191.53 : x
  2. Step 2: Convert to fraction form
    259,368.78/357,931.64 = 146,191.53/x
  3. Step 3: Cross multiply
    259,368.78x = 357,931.64 × 146,191.53
  4. Step 4: Simplify right side
    259,368.78x = 52,326,574,087.01
  5. Step 5: Solve for x
    x = 52,326,574,087.01/259,368.78
  6. Step 6: Final answer
    x = 201,745.85

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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.