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Finding the Fourth Proportional to 175,395.51, 242,048.01 and 106,465.05

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Solution

The fourth proportional to 175,395.51, 242,048.01 and 106,465.05 is: 146,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,395.51 : 242,048.01 = 106,465.05 : x
  2. Step 2: Convert to fraction form
    175,395.51/242,048.01 = 106,465.05/x
  3. Step 3: Cross multiply
    175,395.51x = 242,048.01 × 106,465.05
  4. Step 4: Simplify right side
    175,395.51x = 25,769,653,886.29
  5. Step 5: Solve for x
    x = 25,769,653,886.29/175,395.51
  6. Step 6: Final answer
    x = 146,923.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.