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Finding the Fourth Proportional to 191,173.60, 286,746 and 77,328.64

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Solution

The fourth proportional to 191,173.60, 286,746 and 77,328.64 is: 115,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,173.60 : 286,746 = 77,328.64 : x
  2. Step 2: Convert to fraction form
    191,173.60/286,746 = 77,328.64/x
  3. Step 3: Cross multiply
    191,173.60x = 286,746 × 77,328.64
  4. Step 4: Simplify right side
    191,173.60x = 22,173,678,205.44
  5. Step 5: Solve for x
    x = 22,173,678,205.44/191,173.60
  6. Step 6: Final answer
    x = 115,987.14

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1.5x scale

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.