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Finding the Fourth Proportional to 191,913.68, 264,840.10 and 105,878.01

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Solution

The fourth proportional to 191,913.68, 264,840.10 and 105,878.01 is: 146,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,913.68 : 264,840.10 = 105,878.01 : x
  2. Step 2: Convert to fraction form
    191,913.68/264,840.10 = 105,878.01/x
  3. Step 3: Cross multiply
    191,913.68x = 264,840.10 × 105,878.01
  4. Step 4: Simplify right side
    191,913.68x = 28,040,742,756.20
  5. Step 5: Solve for x
    x = 28,040,742,756.20/191,913.68
  6. Step 6: Final answer
    x = 146,111.23

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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.