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Finding the Fourth Proportional to 153,148.48, 229,722.54 and 47,975.64

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Solution

The fourth proportional to 153,148.48, 229,722.54 and 47,975.64 is: 71,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,148.48 : 229,722.54 = 47,975.64 : x
  2. Step 2: Convert to fraction form
    153,148.48/229,722.54 = 47,975.64/x
  3. Step 3: Cross multiply
    153,148.48x = 229,722.54 × 47,975.64
  4. Step 4: Simplify right side
    153,148.48x = 11,021,085,878.93
  5. Step 5: Solve for x
    x = 11,021,085,878.93/153,148.48
  6. Step 6: Final answer
    x = 71,963.40

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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.