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Finding the Fourth Proportional to 153,136.88, 229,695.60 and 47,953.52

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Solution

The fourth proportional to 153,136.88, 229,695.60 and 47,953.52 is: 71,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,136.88 : 229,695.60 = 47,953.52 : x
  2. Step 2: Convert to fraction form
    153,136.88/229,695.60 = 47,953.52/x
  3. Step 3: Cross multiply
    153,136.88x = 229,695.60 × 47,953.52
  4. Step 4: Simplify right side
    153,136.88x = 11,014,712,548.51
  5. Step 5: Solve for x
    x = 11,014,712,548.51/153,136.88
  6. Step 6: Final answer
    x = 71,927.24

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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.