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Finding the Fourth Proportional to 191,838.40, 264,740.32 and 105,807.28

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Solution

The fourth proportional to 191,838.40, 264,740.32 and 105,807.28 is: 146,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,838.40 : 264,740.32 = 105,807.28 : x
  2. Step 2: Convert to fraction form
    191,838.40/264,740.32 = 105,807.28/x
  3. Step 3: Cross multiply
    191,838.40x = 264,740.32 × 105,807.28
  4. Step 4: Simplify right side
    191,838.40x = 28,011,453,165.53
  5. Step 5: Solve for x
    x = 28,011,453,165.53/191,838.40
  6. Step 6: Final answer
    x = 146,015.88

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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.