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Finding the Fourth Proportional to 346,133.10, 519,199.65 and 146,401.68

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Solution

The fourth proportional to 346,133.10, 519,199.65 and 146,401.68 is: 219,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,133.10 : 519,199.65 = 146,401.68 : x
  2. Step 2: Convert to fraction form
    346,133.10/519,199.65 = 146,401.68/x
  3. Step 3: Cross multiply
    346,133.10x = 519,199.65 × 146,401.68
  4. Step 4: Simplify right side
    346,133.10x = 76,011,701,015.41
  5. Step 5: Solve for x
    x = 76,011,701,015.41/346,133.10
  6. Step 6: Final answer
    x = 219,602.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.