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Finding the Fourth Proportional to 153,187.32, 229,781.06 and 70,023

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Solution

The fourth proportional to 153,187.32, 229,781.06 and 70,023 is: 105,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,187.32 : 229,781.06 = 70,023 : x
  2. Step 2: Convert to fraction form
    153,187.32/229,781.06 = 70,023/x
  3. Step 3: Cross multiply
    153,187.32x = 229,781.06 × 70,023
  4. Step 4: Simplify right side
    153,187.32x = 16,089,959,164.38
  5. Step 5: Solve for x
    x = 16,089,959,164.38/153,187.32
  6. Step 6: Final answer
    x = 105,034.54

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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.