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Finding the Fourth Proportional to 191,885.15, 264,802.55 and 105,847.16

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Solution

The fourth proportional to 191,885.15, 264,802.55 and 105,847.16 is: 146,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,885.15 : 264,802.55 = 105,847.16 : x
  2. Step 2: Convert to fraction form
    191,885.15/264,802.55 = 105,847.16/x
  3. Step 3: Cross multiply
    191,885.15x = 264,802.55 × 105,847.16
  4. Step 4: Simplify right side
    191,885.15x = 28,028,596,025.01
  5. Step 5: Solve for x
    x = 28,028,596,025.01/191,885.15
  6. Step 6: Final answer
    x = 146,069.64

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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.