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Finding the Fourth Proportional to 174,590.95, 240,927.74 and 102,000.57

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Solution

The fourth proportional to 174,590.95, 240,927.74 and 102,000.57 is: 140,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,590.95 : 240,927.74 = 102,000.57 : x
  2. Step 2: Convert to fraction form
    174,590.95/240,927.74 = 102,000.57/x
  3. Step 3: Cross multiply
    174,590.95x = 240,927.74 × 102,000.57
  4. Step 4: Simplify right side
    174,590.95x = 24,574,767,419.93
  5. Step 5: Solve for x
    x = 24,574,767,419.93/174,590.95
  6. Step 6: Final answer
    x = 140,756.25

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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.