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Finding the Fourth Proportional to 346,575.74, 519,913.19 and 106,709.93

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Solution

The fourth proportional to 346,575.74, 519,913.19 and 106,709.93 is: 160,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,575.74 : 519,913.19 = 106,709.93 : x
  2. Step 2: Convert to fraction form
    346,575.74/519,913.19 = 106,709.93/x
  3. Step 3: Cross multiply
    346,575.74x = 519,913.19 × 106,709.93
  4. Step 4: Simplify right side
    346,575.74x = 55,479,901,677.53
  5. Step 5: Solve for x
    x = 55,479,901,677.53/346,575.74
  6. Step 6: Final answer
    x = 160,080.17

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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.