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Finding the Fourth Proportional to 152,425.80, 228,638.70 and 57,655.80

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Solution

The fourth proportional to 152,425.80, 228,638.70 and 57,655.80 is: 86,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,425.80 : 228,638.70 = 57,655.80 : x
  2. Step 2: Convert to fraction form
    152,425.80/228,638.70 = 57,655.80/x
  3. Step 3: Cross multiply
    152,425.80x = 228,638.70 × 57,655.80
  4. Step 4: Simplify right side
    152,425.80x = 13,182,347,159.46
  5. Step 5: Solve for x
    x = 13,182,347,159.46/152,425.80
  6. Step 6: Final answer
    x = 86,483.70

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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.