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Finding the Fourth Proportional to 237,326.40, 355,816.80 and 97,012.80

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Solution

The fourth proportional to 237,326.40, 355,816.80 and 97,012.80 is: 145,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,326.40 : 355,816.80 = 97,012.80 : x
  2. Step 2: Convert to fraction form
    237,326.40/355,816.80 = 97,012.80/x
  3. Step 3: Cross multiply
    237,326.40x = 355,816.80 × 97,012.80
  4. Step 4: Simplify right side
    237,326.40x = 34,518,784,055.04
  5. Step 5: Solve for x
    x = 34,518,784,055.04/237,326.40
  6. Step 6: Final answer
    x = 145,448.56

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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.