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Finding the Fourth Proportional to 315,703.49, 473,742.07 and 116,164.00

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Solution

The fourth proportional to 315,703.49, 473,742.07 and 116,164.00 is: 174,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,703.49 : 473,742.07 = 116,164.00 : x
  2. Step 2: Convert to fraction form
    315,703.49/473,742.07 = 116,164.00/x
  3. Step 3: Cross multiply
    315,703.49x = 473,742.07 × 116,164.00
  4. Step 4: Simplify right side
    315,703.49x = 55,031,776,521.85
  5. Step 5: Solve for x
    x = 55,031,776,521.85/315,703.49
  6. Step 6: Final answer
    x = 174,314.75

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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.