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Finding the Fourth Proportional to 259,645.96, 358,317.84 and 146,476

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Solution

The fourth proportional to 259,645.96, 358,317.84 and 146,476 is: 202,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,645.96 : 358,317.84 = 146,476 : x
  2. Step 2: Convert to fraction form
    259,645.96/358,317.84 = 146,476/x
  3. Step 3: Cross multiply
    259,645.96x = 358,317.84 × 146,476
  4. Step 4: Simplify right side
    259,645.96x = 52,484,963,931.84
  5. Step 5: Solve for x
    x = 52,484,963,931.84/259,645.96
  6. Step 6: Final answer
    x = 202,140.50

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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.