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Finding the Fourth Proportional to 153,352.76, 230,050.10 and 53,497.98

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Solution

The fourth proportional to 153,352.76, 230,050.10 and 53,497.98 is: 80,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,352.76 : 230,050.10 = 53,497.98 : x
  2. Step 2: Convert to fraction form
    153,352.76/230,050.10 = 53,497.98/x
  3. Step 3: Cross multiply
    153,352.76x = 230,050.10 × 53,497.98
  4. Step 4: Simplify right side
    153,352.76x = 12,307,216,128.63
  5. Step 5: Solve for x
    x = 12,307,216,128.63/153,352.76
  6. Step 6: Final answer
    x = 80,254.29

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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.