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Finding the Fourth Proportional to 157,103.12, 216,802.04 and 85,482.77

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Solution

The fourth proportional to 157,103.12, 216,802.04 and 85,482.77 is: 117,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,103.12 : 216,802.04 = 85,482.77 : x
  2. Step 2: Convert to fraction form
    157,103.12/216,802.04 = 85,482.77/x
  3. Step 3: Cross multiply
    157,103.12x = 216,802.04 × 85,482.77
  4. Step 4: Simplify right side
    157,103.12x = 18,532,837,409.43
  5. Step 5: Solve for x
    x = 18,532,837,409.43/157,103.12
  6. Step 6: Final answer
    x = 117,966.07

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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.