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Finding the Fourth Proportional to 346,038.72, 519,134.98 and 106,185.98

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Solution

The fourth proportional to 346,038.72, 519,134.98 and 106,185.98 is: 159,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,038.72 : 519,134.98 = 106,185.98 : x
  2. Step 2: Convert to fraction form
    346,038.72/519,134.98 = 106,185.98/x
  3. Step 3: Cross multiply
    346,038.72x = 519,134.98 × 106,185.98
  4. Step 4: Simplify right side
    346,038.72x = 55,124,856,603.58
  5. Step 5: Solve for x
    x = 55,124,856,603.58/346,038.72
  6. Step 6: Final answer
    x = 159,302.57

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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.