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Finding the Fourth Proportional to 153,365.30, 230,055.15 and 48,187.70

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Solution

The fourth proportional to 153,365.30, 230,055.15 and 48,187.70 is: 72,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,365.30 : 230,055.15 = 48,187.70 : x
  2. Step 2: Convert to fraction form
    153,365.30/230,055.15 = 48,187.70/x
  3. Step 3: Cross multiply
    153,365.30x = 230,055.15 × 48,187.70
  4. Step 4: Simplify right side
    153,365.30x = 11,085,828,551.66
  5. Step 5: Solve for x
    x = 11,085,828,551.66/153,365.30
  6. Step 6: Final answer
    x = 72,283.81

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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.