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Finding the Fourth Proportional to 242,246.52, 363,384.36 and 102,016.08

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Solution

The fourth proportional to 242,246.52, 363,384.36 and 102,016.08 is: 153,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,246.52 : 363,384.36 = 102,016.08 : x
  2. Step 2: Convert to fraction form
    242,246.52/363,384.36 = 102,016.08/x
  3. Step 3: Cross multiply
    242,246.52x = 363,384.36 × 102,016.08
  4. Step 4: Simplify right side
    242,246.52x = 37,071,047,940.51
  5. Step 5: Solve for x
    x = 37,071,047,940.51/242,246.52
  6. Step 6: Final answer
    x = 153,030.26

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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.