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Finding the Fourth Proportional to 224,715.40, 310,231.80 and 153,200.50

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Solution

The fourth proportional to 224,715.40, 310,231.80 and 153,200.50 is: 211,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,715.40 : 310,231.80 = 153,200.50 : x
  2. Step 2: Convert to fraction form
    224,715.40/310,231.80 = 153,200.50/x
  3. Step 3: Cross multiply
    224,715.40x = 310,231.80 × 153,200.50
  4. Step 4: Simplify right side
    224,715.40x = 47,527,666,875.90
  5. Step 5: Solve for x
    x = 47,527,666,875.90/224,715.40
  6. Step 6: Final answer
    x = 211,501.60

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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.