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Finding the Fourth Proportional to 461,952.45, 692,994.29 and 142,130.81

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Solution

The fourth proportional to 461,952.45, 692,994.29 and 142,130.81 is: 213,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,952.45 : 692,994.29 = 142,130.81 : x
  2. Step 2: Convert to fraction form
    461,952.45/692,994.29 = 142,130.81/x
  3. Step 3: Cross multiply
    461,952.45x = 692,994.29 × 142,130.81
  4. Step 4: Simplify right side
    461,952.45x = 98,495,840,784.91
  5. Step 5: Solve for x
    x = 98,495,840,784.91/461,952.45
  6. Step 6: Final answer
    x = 213,216.41

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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.