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Finding the Fourth Proportional to 105,330.40, 157,688.40 and 102,258.40

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Solution

The fourth proportional to 105,330.40, 157,688.40 and 102,258.40 is: 153,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,330.40 : 157,688.40 = 102,258.40 : x
  2. Step 2: Convert to fraction form
    105,330.40/157,688.40 = 102,258.40/x
  3. Step 3: Cross multiply
    105,330.40x = 157,688.40 × 102,258.40
  4. Step 4: Simplify right side
    105,330.40x = 16,124,963,482.56
  5. Step 5: Solve for x
    x = 16,124,963,482.56/105,330.40
  6. Step 6: Final answer
    x = 153,089.36

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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.