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Finding the Fourth Proportional to 153,851.66, 230,810.86 and 47,235.98

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Solution

The fourth proportional to 153,851.66, 230,810.86 and 47,235.98 is: 70,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,851.66 : 230,810.86 = 47,235.98 : x
  2. Step 2: Convert to fraction form
    153,851.66/230,810.86 = 47,235.98/x
  3. Step 3: Cross multiply
    153,851.66x = 230,810.86 × 47,235.98
  4. Step 4: Simplify right side
    153,851.66x = 10,902,577,166.74
  5. Step 5: Solve for x
    x = 10,902,577,166.74/153,851.66
  6. Step 6: Final answer
    x = 70,864.22

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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.