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Finding the Fourth Proportional to 224,302.19, 309,501.51 and 133,655.90

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Solution

The fourth proportional to 224,302.19, 309,501.51 and 133,655.90 is: 184,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,302.19 : 309,501.51 = 133,655.90 : x
  2. Step 2: Convert to fraction form
    224,302.19/309,501.51 = 133,655.90/x
  3. Step 3: Cross multiply
    224,302.19x = 309,501.51 × 133,655.90
  4. Step 4: Simplify right side
    224,302.19x = 41,366,702,870.41
  5. Step 5: Solve for x
    x = 41,366,702,870.41/224,302.19
  6. Step 6: Final answer
    x = 184,423.98

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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.