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Finding the Fourth Proportional to 153,670.76, 230,506.12 and 48,497.93

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Solution

The fourth proportional to 153,670.76, 230,506.12 and 48,497.93 is: 72,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,670.76 : 230,506.12 = 48,497.93 : x
  2. Step 2: Convert to fraction form
    153,670.76/230,506.12 = 48,497.93/x
  3. Step 3: Cross multiply
    153,670.76x = 230,506.12 × 48,497.93
  4. Step 4: Simplify right side
    153,670.76x = 11,179,069,672.33
  5. Step 5: Solve for x
    x = 11,179,069,672.33/153,670.76
  6. Step 6: Final answer
    x = 72,746.89

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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.