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Finding the Fourth Proportional to 282,602.16, 424,068.48 and 105,234.84

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Solution

The fourth proportional to 282,602.16, 424,068.48 and 105,234.84 is: 157,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,602.16 : 424,068.48 = 105,234.84 : x
  2. Step 2: Convert to fraction form
    282,602.16/424,068.48 = 105,234.84/x
  3. Step 3: Cross multiply
    282,602.16x = 424,068.48 × 105,234.84
  4. Step 4: Simplify right side
    282,602.16x = 44,626,778,641.84
  5. Step 5: Solve for x
    x = 44,626,778,641.84/282,602.16
  6. Step 6: Final answer
    x = 157,913.79

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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.