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Finding the Fourth Proportional to 191,352.16, 264,064.08 and 106,467.76

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Solution

The fourth proportional to 191,352.16, 264,064.08 and 106,467.76 is: 146,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,352.16 : 264,064.08 = 106,467.76 : x
  2. Step 2: Convert to fraction form
    191,352.16/264,064.08 = 106,467.76/x
  3. Step 3: Cross multiply
    191,352.16x = 264,064.08 × 106,467.76
  4. Step 4: Simplify right side
    191,352.16x = 28,114,311,094.06
  5. Step 5: Solve for x
    x = 28,114,311,094.06/191,352.16
  6. Step 6: Final answer
    x = 146,924.45

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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.