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Finding the Fourth Proportional to 152,056.50, 209,828.99 and 84,068.14

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Solution

The fourth proportional to 152,056.50, 209,828.99 and 84,068.14 is: 116,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,056.50 : 209,828.99 = 84,068.14 : x
  2. Step 2: Convert to fraction form
    152,056.50/209,828.99 = 84,068.14/x
  3. Step 3: Cross multiply
    152,056.50x = 209,828.99 × 84,068.14
  4. Step 4: Simplify right side
    152,056.50x = 17,639,932,907.38
  5. Step 5: Solve for x
    x = 17,639,932,907.38/152,056.50
  6. Step 6: Final answer
    x = 116,009.07

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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.