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Finding the Fourth Proportional to 191,054.54, 286,580.78 and 48,899.54

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Solution

The fourth proportional to 191,054.54, 286,580.78 and 48,899.54 is: 73,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,054.54 : 286,580.78 = 48,899.54 : x
  2. Step 2: Convert to fraction form
    191,054.54/286,580.78 = 48,899.54/x
  3. Step 3: Cross multiply
    191,054.54x = 286,580.78 × 48,899.54
  4. Step 4: Simplify right side
    191,054.54x = 14,013,666,637.44
  5. Step 5: Solve for x
    x = 14,013,666,637.44/191,054.54
  6. Step 6: Final answer
    x = 73,349.04

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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.