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Finding the Fourth Proportional to 106,916.16, 160,368.08 and 28,030.32

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Solution

The fourth proportional to 106,916.16, 160,368.08 and 28,030.32 is: 42,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916.16 : 160,368.08 = 28,030.32 : x
  2. Step 2: Convert to fraction form
    106,916.16/160,368.08 = 28,030.32/x
  3. Step 3: Cross multiply
    106,916.16x = 160,368.08 × 28,030.32
  4. Step 4: Simplify right side
    106,916.16x = 4,495,168,600.19
  5. Step 5: Solve for x
    x = 4,495,168,600.19/106,916.16
  6. Step 6: Final answer
    x = 42,043.87

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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.