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Finding the Fourth Proportional to 191,588.64, 264,397.86 and 105,553.14

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Solution

The fourth proportional to 191,588.64, 264,397.86 and 105,553.14 is: 145,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,588.64 : 264,397.86 = 105,553.14 : x
  2. Step 2: Convert to fraction form
    191,588.64/264,397.86 = 105,553.14/x
  3. Step 3: Cross multiply
    191,588.64x = 264,397.86 × 105,553.14
  4. Step 4: Simplify right side
    191,588.64x = 27,908,024,332.28
  5. Step 5: Solve for x
    x = 27,908,024,332.28/191,588.64
  6. Step 6: Final answer
    x = 145,666.38

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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.