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Finding the Fourth Proportional to 114,368.94, 157,884.90 and 76,151.10

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Solution

The fourth proportional to 114,368.94, 157,884.90 and 76,151.10 is: 105,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,368.94 : 157,884.90 = 76,151.10 : x
  2. Step 2: Convert to fraction form
    114,368.94/157,884.90 = 76,151.10/x
  3. Step 3: Cross multiply
    114,368.94x = 157,884.90 × 76,151.10
  4. Step 4: Simplify right side
    114,368.94x = 12,023,108,808.39
  5. Step 5: Solve for x
    x = 12,023,108,808.39/114,368.94
  6. Step 6: Final answer
    x = 105,125.65

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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.