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Finding the Fourth Proportional to 272,030.70, 407,851.65 and 122,148.30

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Solution

The fourth proportional to 272,030.70, 407,851.65 and 122,148.30 is: 183,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,030.70 : 407,851.65 = 122,148.30 : x
  2. Step 2: Convert to fraction form
    272,030.70/407,851.65 = 122,148.30/x
  3. Step 3: Cross multiply
    272,030.70x = 407,851.65 × 122,148.30
  4. Step 4: Simplify right side
    272,030.70x = 49,818,385,699.70
  5. Step 5: Solve for x
    x = 49,818,385,699.70/272,030.70
  6. Step 6: Final answer
    x = 183,135.16

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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.