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Finding the Fourth Proportional to 153,430.70, 230,159.04 and 46,838.54

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Solution

The fourth proportional to 153,430.70, 230,159.04 and 46,838.54 is: 70,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,430.70 : 230,159.04 = 46,838.54 : x
  2. Step 2: Convert to fraction form
    153,430.70/230,159.04 = 46,838.54/x
  3. Step 3: Cross multiply
    153,430.70x = 230,159.04 × 46,838.54
  4. Step 4: Simplify right side
    153,430.70x = 10,780,313,401.40
  5. Step 5: Solve for x
    x = 10,780,313,401.40/153,430.70
  6. Step 6: Final answer
    x = 70,261.78

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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.