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Finding the Fourth Proportional to 106,842.84, 147,437.01 and 59,092.98

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Solution

The fourth proportional to 106,842.84, 147,437.01 and 59,092.98 is: 81,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842.84 : 147,437.01 = 59,092.98 : x
  2. Step 2: Convert to fraction form
    106,842.84/147,437.01 = 59,092.98/x
  3. Step 3: Cross multiply
    106,842.84x = 147,437.01 × 59,092.98
  4. Step 4: Simplify right side
    106,842.84x = 8,712,492,283.19
  5. Step 5: Solve for x
    x = 8,712,492,283.19/106,842.84
  6. Step 6: Final answer
    x = 81,544.93

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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.