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Finding the Fourth Proportional to 257,604, 355,426.24 and 148,681.68

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Solution

The fourth proportional to 257,604, 355,426.24 and 148,681.68 is: 205,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,604 : 355,426.24 = 148,681.68 : x
  2. Step 2: Convert to fraction form
    257,604/355,426.24 = 148,681.68/x
  3. Step 3: Cross multiply
    257,604x = 355,426.24 × 148,681.68
  4. Step 4: Simplify right side
    257,604x = 52,845,370,479.28
  5. Step 5: Solve for x
    x = 52,845,370,479.28/257,604
  6. Step 6: Final answer
    x = 205,141.89

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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.