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Finding the Fourth Proportional to 157,368.47, 236,122.48 and 82,470.81

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Solution

The fourth proportional to 157,368.47, 236,122.48 and 82,470.81 is: 123,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368.47 : 236,122.48 = 82,470.81 : x
  2. Step 2: Convert to fraction form
    157,368.47/236,122.48 = 82,470.81/x
  3. Step 3: Cross multiply
    157,368.47x = 236,122.48 × 82,470.81
  4. Step 4: Simplify right side
    157,368.47x = 19,473,210,798.02
  5. Step 5: Solve for x
    x = 19,473,210,798.02/157,368.47
  6. Step 6: Final answer
    x = 123,742.77

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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.