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Finding the Fourth Proportional to 342,095.14, 472,070.95 and 189,124.17

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Solution

The fourth proportional to 342,095.14, 472,070.95 and 189,124.17 is: 260,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,095.14 : 472,070.95 = 189,124.17 : x
  2. Step 2: Convert to fraction form
    342,095.14/472,070.95 = 189,124.17/x
  3. Step 3: Cross multiply
    342,095.14x = 472,070.95 × 189,124.17
  4. Step 4: Simplify right side
    342,095.14x = 89,280,026,599.86
  5. Step 5: Solve for x
    x = 89,280,026,599.86/342,095.14
  6. Step 6: Final answer
    x = 260,980.11

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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.