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Finding the Fourth Proportional to 292,135.68, 438,017.76 and 123,567.84

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Solution

The fourth proportional to 292,135.68, 438,017.76 and 123,567.84 is: 185,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,135.68 : 438,017.76 = 123,567.84 : x
  2. Step 2: Convert to fraction form
    292,135.68/438,017.76 = 123,567.84/x
  3. Step 3: Cross multiply
    292,135.68x = 438,017.76 × 123,567.84
  4. Step 4: Simplify right side
    292,135.68x = 54,124,908,484.84
  5. Step 5: Solve for x
    x = 54,124,908,484.84/292,135.68
  6. Step 6: Final answer
    x = 185,273.19

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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.