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Finding the Fourth Proportional to 102,374.76, 141,228.88 and 59,907

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Solution

The fourth proportional to 102,374.76, 141,228.88 and 59,907 is: 82,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,374.76 : 141,228.88 = 59,907 : x
  2. Step 2: Convert to fraction form
    102,374.76/141,228.88 = 59,907/x
  3. Step 3: Cross multiply
    102,374.76x = 141,228.88 × 59,907
  4. Step 4: Simplify right side
    102,374.76x = 8,460,598,514.16
  5. Step 5: Solve for x
    x = 8,460,598,514.16/102,374.76
  6. Step 6: Final answer
    x = 82,643.40

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1.5x scale

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.