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Finding the Fourth Proportional to 307,154.34, 460,133.73 and 173,630.70

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Solution

The fourth proportional to 307,154.34, 460,133.73 and 173,630.70 is: 260,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,154.34 : 460,133.73 = 173,630.70 : x
  2. Step 2: Convert to fraction form
    307,154.34/460,133.73 = 173,630.70/x
  3. Step 3: Cross multiply
    307,154.34x = 460,133.73 × 173,630.70
  4. Step 4: Simplify right side
    307,154.34x = 79,893,341,633.51
  5. Step 5: Solve for x
    x = 79,893,341,633.51/307,154.34
  6. Step 6: Final answer
    x = 260,108.13

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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.