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Finding the Fourth Proportional to 151,653, 209,281.14 and 84,585

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Solution

The fourth proportional to 151,653, 209,281.14 and 84,585 is: 116,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,653 : 209,281.14 = 84,585 : x
  2. Step 2: Convert to fraction form
    151,653/209,281.14 = 84,585/x
  3. Step 3: Cross multiply
    151,653x = 209,281.14 × 84,585
  4. Step 4: Simplify right side
    151,653x = 17,702,045,226.90
  5. Step 5: Solve for x
    x = 17,702,045,226.90/151,653
  6. Step 6: Final answer
    x = 116,727.30

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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.