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Finding the Fourth Proportional to 152,123.40, 228,206.70 and 46,931.40

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Solution

The fourth proportional to 152,123.40, 228,206.70 and 46,931.40 is: 70,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,123.40 : 228,206.70 = 46,931.40 : x
  2. Step 2: Convert to fraction form
    152,123.40/228,206.70 = 46,931.40/x
  3. Step 3: Cross multiply
    152,123.40x = 228,206.70 × 46,931.40
  4. Step 4: Simplify right side
    152,123.40x = 10,710,059,920.38
  5. Step 5: Solve for x
    x = 10,710,059,920.38/152,123.40
  6. Step 6: Final answer
    x = 70,403.76

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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.