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Finding the Fourth Proportional to 342,030.42, 513,045.63 and 92,712.42

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Solution

The fourth proportional to 342,030.42, 513,045.63 and 92,712.42 is: 139,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,030.42 : 513,045.63 = 92,712.42 : x
  2. Step 2: Convert to fraction form
    342,030.42/513,045.63 = 92,712.42/x
  3. Step 3: Cross multiply
    342,030.42x = 513,045.63 × 92,712.42
  4. Step 4: Simplify right side
    342,030.42x = 47,565,701,927.72
  5. Step 5: Solve for x
    x = 47,565,701,927.72/342,030.42
  6. Step 6: Final answer
    x = 139,068.63

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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.