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Finding the Fourth Proportional to 98,368.16, 147,301.94 and 65,038.28

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Solution

The fourth proportional to 98,368.16, 147,301.94 and 65,038.28 is: 97,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,368.16 : 147,301.94 = 65,038.28 : x
  2. Step 2: Convert to fraction form
    98,368.16/147,301.94 = 65,038.28/x
  3. Step 3: Cross multiply
    98,368.16x = 147,301.94 × 65,038.28
  4. Step 4: Simplify right side
    98,368.16x = 9,580,264,244.35
  5. Step 5: Solve for x
    x = 9,580,264,244.35/98,368.16
  6. Step 6: Final answer
    x = 97,391.93

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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.