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Finding the Fourth Proportional to 210,709.98, 316,056.54 and 116,127.66

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Solution

The fourth proportional to 210,709.98, 316,056.54 and 116,127.66 is: 174,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,709.98 : 316,056.54 = 116,127.66 : x
  2. Step 2: Convert to fraction form
    210,709.98/316,056.54 = 116,127.66/x
  3. Step 3: Cross multiply
    210,709.98x = 316,056.54 × 116,127.66
  4. Step 4: Simplify right side
    210,709.98x = 36,702,906,417.90
  5. Step 5: Solve for x
    x = 36,702,906,417.90/210,709.98
  6. Step 6: Final answer
    x = 174,186.84

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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.