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Finding the Fourth Proportional to 461,487.98, 692,348.89 and 141,656.06

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Solution

The fourth proportional to 461,487.98, 692,348.89 and 141,656.06 is: 212,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,487.98 : 692,348.89 = 141,656.06 : x
  2. Step 2: Convert to fraction form
    461,487.98/692,348.89 = 141,656.06/x
  3. Step 3: Cross multiply
    461,487.98x = 692,348.89 × 141,656.06
  4. Step 4: Simplify right side
    461,487.98x = 98,075,415,194.49
  5. Step 5: Solve for x
    x = 98,075,415,194.49/461,487.98
  6. Step 6: Final answer
    x = 212,519.98

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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.