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Finding the Fourth Proportional to 259,582.84, 358,219.38 and 146,405.56

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Solution

The fourth proportional to 259,582.84, 358,219.38 and 146,405.56 is: 202,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,582.84 : 358,219.38 = 146,405.56 : x
  2. Step 2: Convert to fraction form
    259,582.84/358,219.38 = 146,405.56/x
  3. Step 3: Cross multiply
    259,582.84x = 358,219.38 × 146,405.56
  4. Step 4: Simplify right side
    259,582.84x = 52,445,308,931.75
  5. Step 5: Solve for x
    x = 52,445,308,931.75/259,582.84
  6. Step 6: Final answer
    x = 202,036.89

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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.